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Finding the Fourth Proportional to 9,218.34, 12,711.33 and 6,564.78

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Solution

The fourth proportional to 9,218.34, 12,711.33 and 6,564.78 is: 9,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.34 : 12,711.33 = 6,564.78 : x
  2. Step 2: Convert to fraction form
    9,218.34/12,711.33 = 6,564.78/x
  3. Step 3: Cross multiply
    9,218.34x = 12,711.33 × 6,564.78
  4. Step 4: Simplify right side
    9,218.34x = 83,447,084.96
  5. Step 5: Solve for x
    x = 83,447,084.96/9,218.34
  6. Step 6: Final answer
    x = 9,052.29

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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.