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Finding the Fourth Proportional to 10,646.91, 14,691.92 and 6,398.19

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Solution

The fourth proportional to 10,646.91, 14,691.92 and 6,398.19 is: 8,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.91 : 14,691.92 = 6,398.19 : x
  2. Step 2: Convert to fraction form
    10,646.91/14,691.92 = 6,398.19/x
  3. Step 3: Cross multiply
    10,646.91x = 14,691.92 × 6,398.19
  4. Step 4: Simplify right side
    10,646.91x = 94,001,663.63
  5. Step 5: Solve for x
    x = 94,001,663.63/10,646.91
  6. Step 6: Final answer
    x = 8,829.01

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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.