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Finding the Fourth Proportional to 6,306.59, 9,460.42 and 1,626.56

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Solution

The fourth proportional to 6,306.59, 9,460.42 and 1,626.56 is: 2,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.59 : 9,460.42 = 1,626.56 : x
  2. Step 2: Convert to fraction form
    6,306.59/9,460.42 = 1,626.56/x
  3. Step 3: Cross multiply
    6,306.59x = 9,460.42 × 1,626.56
  4. Step 4: Simplify right side
    6,306.59x = 15,387,940.76
  5. Step 5: Solve for x
    x = 15,387,940.76/6,306.59
  6. Step 6: Final answer
    x = 2,439.98

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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.