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Finding the Fourth Proportional to 9,882.88, 14,830.76 and 3,642.96

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Solution

The fourth proportional to 9,882.88, 14,830.76 and 3,642.96 is: 5,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.88 : 14,830.76 = 3,642.96 : x
  2. Step 2: Convert to fraction form
    9,882.88/14,830.76 = 3,642.96/x
  3. Step 3: Cross multiply
    9,882.88x = 14,830.76 × 3,642.96
  4. Step 4: Simplify right side
    9,882.88x = 54,027,865.45
  5. Step 5: Solve for x
    x = 54,027,865.45/9,882.88
  6. Step 6: Final answer
    x = 5,466.81

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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.