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Finding the Fourth Proportional to 9,911.60, 14,830.82 and 5,965.28

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Solution

The fourth proportional to 9,911.60, 14,830.82 and 5,965.28 is: 8,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.60 : 14,830.82 = 5,965.28 : x
  2. Step 2: Convert to fraction form
    9,911.60/14,830.82 = 5,965.28/x
  3. Step 3: Cross multiply
    9,911.60x = 14,830.82 × 5,965.28
  4. Step 4: Simplify right side
    9,911.60x = 88,469,964.10
  5. Step 5: Solve for x
    x = 88,469,964.10/9,911.60
  6. Step 6: Final answer
    x = 8,925.90

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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.