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Finding the Fourth Proportional to 9,865,713.42, 13,613,727.65 and 6,193,456.11

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Solution

The fourth proportional to 9,865,713.42, 13,613,727.65 and 6,193,456.11 is: 8,546,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,713.42 : 13,613,727.65 = 6,193,456.11 : x
  2. Step 2: Convert to fraction form
    9,865,713.42/13,613,727.65 = 6,193,456.11/x
  3. Step 3: Cross multiply
    9,865,713.42x = 13,613,727.65 × 6,193,456.11
  4. Step 4: Simplify right side
    9,865,713.42x = 84,316,024,662,801.16
  5. Step 5: Solve for x
    x = 84,316,024,662,801.16/9,865,713.42
  6. Step 6: Final answer
    x = 8,546,368.73

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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.