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Finding the Fourth Proportional to 8,971.32, 13,464 and 6,217.32

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Solution

The fourth proportional to 8,971.32, 13,464 and 6,217.32 is: 9,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.32 : 13,464 = 6,217.32 : x
  2. Step 2: Convert to fraction form
    8,971.32/13,464 = 6,217.32/x
  3. Step 3: Cross multiply
    8,971.32x = 13,464 × 6,217.32
  4. Step 4: Simplify right side
    8,971.32x = 83,709,996.48
  5. Step 5: Solve for x
    x = 83,709,996.48/8,971.32
  6. Step 6: Final answer
    x = 9,330.85

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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.