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Finding the Fourth Proportional to 9,660.69, 13,331.80 and 5,411.89

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Solution

The fourth proportional to 9,660.69, 13,331.80 and 5,411.89 is: 7,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.69 : 13,331.80 = 5,411.89 : x
  2. Step 2: Convert to fraction form
    9,660.69/13,331.80 = 5,411.89/x
  3. Step 3: Cross multiply
    9,660.69x = 13,331.80 × 5,411.89
  4. Step 4: Simplify right side
    9,660.69x = 72,150,235.10
  5. Step 5: Solve for x
    x = 72,150,235.10/9,660.69
  6. Step 6: Final answer
    x = 7,468.44

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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.