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Finding the Fourth Proportional to 10,143.90, 14,008.17 and 9,591.69

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Solution

The fourth proportional to 10,143.90, 14,008.17 and 9,591.69 is: 13,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.90 : 14,008.17 = 9,591.69 : x
  2. Step 2: Convert to fraction form
    10,143.90/14,008.17 = 9,591.69/x
  3. Step 3: Cross multiply
    10,143.90x = 14,008.17 × 9,591.69
  4. Step 4: Simplify right side
    10,143.90x = 134,362,024.11
  5. Step 5: Solve for x
    x = 134,362,024.11/10,143.90
  6. Step 6: Final answer
    x = 13,245.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.