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Finding the Fourth Proportional to 9,882.17, 14,823.28 and 3,639.48

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Solution

The fourth proportional to 9,882.17, 14,823.28 and 3,639.48 is: 5,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.17 : 14,823.28 = 3,639.48 : x
  2. Step 2: Convert to fraction form
    9,882.17/14,823.28 = 3,639.48/x
  3. Step 3: Cross multiply
    9,882.17x = 14,823.28 × 3,639.48
  4. Step 4: Simplify right side
    9,882.17x = 53,949,031.09
  5. Step 5: Solve for x
    x = 53,949,031.09/9,882.17
  6. Step 6: Final answer
    x = 5,459.23

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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.