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Finding the Fourth Proportional to 9,862.61, 14,765.20 and 5,171.49

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Solution

The fourth proportional to 9,862.61, 14,765.20 and 5,171.49 is: 7,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.61 : 14,765.20 = 5,171.49 : x
  2. Step 2: Convert to fraction form
    9,862.61/14,765.20 = 5,171.49/x
  3. Step 3: Cross multiply
    9,862.61x = 14,765.20 × 5,171.49
  4. Step 4: Simplify right side
    9,862.61x = 76,358,071.22
  5. Step 5: Solve for x
    x = 76,358,071.22/9,862.61
  6. Step 6: Final answer
    x = 7,742.18

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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.