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Finding the Fourth Proportional to 9,866.61, 13,616.10 and 5,390.55

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Solution

The fourth proportional to 9,866.61, 13,616.10 and 5,390.55 is: 7,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.61 : 13,616.10 = 5,390.55 : x
  2. Step 2: Convert to fraction form
    9,866.61/13,616.10 = 5,390.55/x
  3. Step 3: Cross multiply
    9,866.61x = 13,616.10 × 5,390.55
  4. Step 4: Simplify right side
    9,866.61x = 73,398,267.86
  5. Step 5: Solve for x
    x = 73,398,267.86/9,866.61
  6. Step 6: Final answer
    x = 7,439.06

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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.