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Finding the Fourth Proportional to 7,097,092.56, 9,793,978.20 and 4,041,306.96

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Solution

The fourth proportional to 7,097,092.56, 9,793,978.20 and 4,041,306.96 is: 5,576,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,092.56 : 9,793,978.20 = 4,041,306.96 : x
  2. Step 2: Convert to fraction form
    7,097,092.56/9,793,978.20 = 4,041,306.96/x
  3. Step 3: Cross multiply
    7,097,092.56x = 9,793,978.20 × 4,041,306.96
  4. Step 4: Simplify right side
    7,097,092.56x = 39,580,472,265,748.27
  5. Step 5: Solve for x
    x = 39,580,472,265,748.27/7,097,092.56
  6. Step 6: Final answer
    x = 5,576,998.18

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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.