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Finding the Fourth Proportional to 10,356.33, 15,456.25 and 9,654.06

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Solution

The fourth proportional to 10,356.33, 15,456.25 and 9,654.06 is: 14,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.33 : 15,456.25 = 9,654.06 : x
  2. Step 2: Convert to fraction form
    10,356.33/15,456.25 = 9,654.06/x
  3. Step 3: Cross multiply
    10,356.33x = 15,456.25 × 9,654.06
  4. Step 4: Simplify right side
    10,356.33x = 149,215,516.60
  5. Step 5: Solve for x
    x = 149,215,516.60/10,356.33
  6. Step 6: Final answer
    x = 14,408.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.