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Finding the Fourth Proportional to 27,397.14, 41,071.02 and 9,854.63

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Solution

The fourth proportional to 27,397.14, 41,071.02 and 9,854.63 is: 14,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.14 : 41,071.02 = 9,854.63 : x
  2. Step 2: Convert to fraction form
    27,397.14/41,071.02 = 9,854.63/x
  3. Step 3: Cross multiply
    27,397.14x = 41,071.02 × 9,854.63
  4. Step 4: Simplify right side
    27,397.14x = 404,739,500.47
  5. Step 5: Solve for x
    x = 404,739,500.47/27,397.14
  6. Step 6: Final answer
    x = 14,773.06

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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.