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Finding the Fourth Proportional to 9,882.40, 14,820.16 and 3,307.20

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Solution

The fourth proportional to 9,882.40, 14,820.16 and 3,307.20 is: 4,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.40 : 14,820.16 = 3,307.20 : x
  2. Step 2: Convert to fraction form
    9,882.40/14,820.16 = 3,307.20/x
  3. Step 3: Cross multiply
    9,882.40x = 14,820.16 × 3,307.20
  4. Step 4: Simplify right side
    9,882.40x = 49,013,233.15
  5. Step 5: Solve for x
    x = 49,013,233.15/9,882.40
  6. Step 6: Final answer
    x = 4,959.65

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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.