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Finding the Fourth Proportional to 9,113.67, 13,666.68 and 2,872.02

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Solution

The fourth proportional to 9,113.67, 13,666.68 and 2,872.02 is: 4,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.67 : 13,666.68 = 2,872.02 : x
  2. Step 2: Convert to fraction form
    9,113.67/13,666.68 = 2,872.02/x
  3. Step 3: Cross multiply
    9,113.67x = 13,666.68 × 2,872.02
  4. Step 4: Simplify right side
    9,113.67x = 39,250,978.29
  5. Step 5: Solve for x
    x = 39,250,978.29/9,113.67
  6. Step 6: Final answer
    x = 4,306.82

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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.