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Finding the Fourth Proportional to 9,793,218.40, 14,689,827.60 and 9,730,232.80

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Solution

The fourth proportional to 9,793,218.40, 14,689,827.60 and 9,730,232.80 is: 14,595,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,218.40 : 14,689,827.60 = 9,730,232.80 : x
  2. Step 2: Convert to fraction form
    9,793,218.40/14,689,827.60 = 9,730,232.80/x
  3. Step 3: Cross multiply
    9,793,218.40x = 14,689,827.60 × 9,730,232.80
  4. Step 4: Simplify right side
    9,793,218.40x = 142,935,442,339,865.28
  5. Step 5: Solve for x
    x = 142,935,442,339,865.28/9,793,218.40
  6. Step 6: Final answer
    x = 14,595,349.20

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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.