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Finding the Fourth Proportional to 9,217, 12,724 and 6,386.52

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Solution

The fourth proportional to 9,217, 12,724 and 6,386.52 is: 8,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217 : 12,724 = 6,386.52 : x
  2. Step 2: Convert to fraction form
    9,217/12,724 = 6,386.52/x
  3. Step 3: Cross multiply
    9,217x = 12,724 × 6,386.52
  4. Step 4: Simplify right side
    9,217x = 81,262,080.48
  5. Step 5: Solve for x
    x = 81,262,080.48/9,217
  6. Step 6: Final answer
    x = 8,816.54

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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.