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Finding the Fourth Proportional to 9,107.42, 12,568.80 and 5,524.89

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Solution

The fourth proportional to 9,107.42, 12,568.80 and 5,524.89 is: 7,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.42 : 12,568.80 = 5,524.89 : x
  2. Step 2: Convert to fraction form
    9,107.42/12,568.80 = 5,524.89/x
  3. Step 3: Cross multiply
    9,107.42x = 12,568.80 × 5,524.89
  4. Step 4: Simplify right side
    9,107.42x = 69,441,211.02
  5. Step 5: Solve for x
    x = 69,441,211.02/9,107.42
  6. Step 6: Final answer
    x = 7,624.69

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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.