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Finding the Fourth Proportional to 9,910.47, 14,854.89 and 3,665.16

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Solution

The fourth proportional to 9,910.47, 14,854.89 and 3,665.16 is: 5,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.47 : 14,854.89 = 3,665.16 : x
  2. Step 2: Convert to fraction form
    9,910.47/14,854.89 = 3,665.16/x
  3. Step 3: Cross multiply
    9,910.47x = 14,854.89 × 3,665.16
  4. Step 4: Simplify right side
    9,910.47x = 54,445,548.63
  5. Step 5: Solve for x
    x = 54,445,548.63/9,910.47
  6. Step 6: Final answer
    x = 5,493.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.