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Finding the Fourth Proportional to 9,866.62, 13,615.88 and 5,390.63

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Solution

The fourth proportional to 9,866.62, 13,615.88 and 5,390.63 is: 7,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.62 : 13,615.88 = 5,390.63 : x
  2. Step 2: Convert to fraction form
    9,866.62/13,615.88 = 5,390.63/x
  3. Step 3: Cross multiply
    9,866.62x = 13,615.88 × 5,390.63
  4. Step 4: Simplify right side
    9,866.62x = 73,398,103.13
  5. Step 5: Solve for x
    x = 73,398,103.13/9,866.62
  6. Step 6: Final answer
    x = 7,439.04

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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.