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Finding the Fourth Proportional to 9,272,823.82, 12,796,306.22 and 5,142,188.40

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Solution

The fourth proportional to 9,272,823.82, 12,796,306.22 and 5,142,188.40 is: 7,096,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,823.82 : 12,796,306.22 = 5,142,188.40 : x
  2. Step 2: Convert to fraction form
    9,272,823.82/12,796,306.22 = 5,142,188.40/x
  3. Step 3: Cross multiply
    9,272,823.82x = 12,796,306.22 × 5,142,188.40
  4. Step 4: Simplify right side
    9,272,823.82x = 65,801,017,407,331.86
  5. Step 5: Solve for x
    x = 65,801,017,407,331.86/9,272,823.82
  6. Step 6: Final answer
    x = 7,096,114.27

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