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Finding the Fourth Proportional to 7,078,641.42, 9,769,354.47 and 4,023,314.94

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Solution

The fourth proportional to 7,078,641.42, 9,769,354.47 and 4,023,314.94 is: 5,552,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078,641.42 : 9,769,354.47 = 4,023,314.94 : x
  2. Step 2: Convert to fraction form
    7,078,641.42/9,769,354.47 = 4,023,314.94/x
  3. Step 3: Cross multiply
    7,078,641.42x = 9,769,354.47 × 4,023,314.94
  4. Step 4: Simplify right side
    7,078,641.42x = 39,305,189,793,306.78
  5. Step 5: Solve for x
    x = 39,305,189,793,306.78/7,078,641.42
  6. Step 6: Final answer
    x = 5,552,645.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.