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Finding the Fourth Proportional to 9,225.10, 12,715.46 and 6,537.22

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Solution

The fourth proportional to 9,225.10, 12,715.46 and 6,537.22 is: 9,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.10 : 12,715.46 = 6,537.22 : x
  2. Step 2: Convert to fraction form
    9,225.10/12,715.46 = 6,537.22/x
  3. Step 3: Cross multiply
    9,225.10x = 12,715.46 × 6,537.22
  4. Step 4: Simplify right side
    9,225.10x = 83,123,759.42
  5. Step 5: Solve for x
    x = 83,123,759.42/9,225.10
  6. Step 6: Final answer
    x = 9,010.61

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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.