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Finding the Fourth Proportional to 9,671.31, 14,503.10 and 4,127.13

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Solution

The fourth proportional to 9,671.31, 14,503.10 and 4,127.13 is: 6,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.31 : 14,503.10 = 4,127.13 : x
  2. Step 2: Convert to fraction form
    9,671.31/14,503.10 = 4,127.13/x
  3. Step 3: Cross multiply
    9,671.31x = 14,503.10 × 4,127.13
  4. Step 4: Simplify right side
    9,671.31x = 59,856,158.47
  5. Step 5: Solve for x
    x = 59,856,158.47/9,671.31
  6. Step 6: Final answer
    x = 6,189.04

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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.