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Finding the Fourth Proportional to 9,084.81, 12,535.91 and 5,257.10

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Solution

The fourth proportional to 9,084.81, 12,535.91 and 5,257.10 is: 7,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.81 : 12,535.91 = 5,257.10 : x
  2. Step 2: Convert to fraction form
    9,084.81/12,535.91 = 5,257.10/x
  3. Step 3: Cross multiply
    9,084.81x = 12,535.91 × 5,257.10
  4. Step 4: Simplify right side
    9,084.81x = 65,902,586.80
  5. Step 5: Solve for x
    x = 65,902,586.80/9,084.81
  6. Step 6: Final answer
    x = 7,254.15

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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.