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Finding the Fourth Proportional to 9,876,648.40, 14,793,977.40 and 8,197,032.40

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Solution

The fourth proportional to 9,876,648.40, 14,793,977.40 and 8,197,032.40 is: 12,278,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876,648.40 : 14,793,977.40 = 8,197,032.40 : x
  2. Step 2: Convert to fraction form
    9,876,648.40/14,793,977.40 = 8,197,032.40/x
  3. Step 3: Cross multiply
    9,876,648.40x = 14,793,977.40 × 8,197,032.40
  4. Step 4: Simplify right side
    9,876,648.40x = 121,266,712,072,667.77
  5. Step 5: Solve for x
    x = 121,266,712,072,667.77/9,876,648.40
  6. Step 6: Final answer
    x = 12,278,123.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.