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Finding the Fourth Proportional to 6,248.14, 9,376.78 and 4,609.10

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Solution

The fourth proportional to 6,248.14, 9,376.78 and 4,609.10 is: 6,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.14 : 9,376.78 = 4,609.10 : x
  2. Step 2: Convert to fraction form
    6,248.14/9,376.78 = 4,609.10/x
  3. Step 3: Cross multiply
    6,248.14x = 9,376.78 × 4,609.10
  4. Step 4: Simplify right side
    6,248.14x = 43,218,516.70
  5. Step 5: Solve for x
    x = 43,218,516.70/6,248.14
  6. Step 6: Final answer
    x = 6,917.02

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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.