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Finding the Fourth Proportional to 6,624.43, 9,140.98 and 5,297.65

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Solution

The fourth proportional to 6,624.43, 9,140.98 and 5,297.65 is: 7,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.43 : 9,140.98 = 5,297.65 : x
  2. Step 2: Convert to fraction form
    6,624.43/9,140.98 = 5,297.65/x
  3. Step 3: Cross multiply
    6,624.43x = 9,140.98 × 5,297.65
  4. Step 4: Simplify right side
    6,624.43x = 48,425,712.70
  5. Step 5: Solve for x
    x = 48,425,712.70/6,624.43
  6. Step 6: Final answer
    x = 7,310.17

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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.