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Finding the Fourth Proportional to 9,137.81, 12,591.45 and 7,013.23

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Solution

The fourth proportional to 9,137.81, 12,591.45 and 7,013.23 is: 9,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.81 : 12,591.45 = 7,013.23 : x
  2. Step 2: Convert to fraction form
    9,137.81/12,591.45 = 7,013.23/x
  3. Step 3: Cross multiply
    9,137.81x = 12,591.45 × 7,013.23
  4. Step 4: Simplify right side
    9,137.81x = 88,306,734.88
  5. Step 5: Solve for x
    x = 88,306,734.88/9,137.81
  6. Step 6: Final answer
    x = 9,663.88

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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.