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Finding the Fourth Proportional to 9,252.90, 12,770.01 and 5,898.78

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Solution

The fourth proportional to 9,252.90, 12,770.01 and 5,898.78 is: 8,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.90 : 12,770.01 = 5,898.78 : x
  2. Step 2: Convert to fraction form
    9,252.90/12,770.01 = 5,898.78/x
  3. Step 3: Cross multiply
    9,252.90x = 12,770.01 × 5,898.78
  4. Step 4: Simplify right side
    9,252.90x = 75,327,479.59
  5. Step 5: Solve for x
    x = 75,327,479.59/9,252.90
  6. Step 6: Final answer
    x = 8,140.96

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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.