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Finding the Fourth Proportional to 9,867.52, 13,616.83 and 5,886.58

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Solution

The fourth proportional to 9,867.52, 13,616.83 and 5,886.58 is: 8,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.52 : 13,616.83 = 5,886.58 : x
  2. Step 2: Convert to fraction form
    9,867.52/13,616.83 = 5,886.58/x
  3. Step 3: Cross multiply
    9,867.52x = 13,616.83 × 5,886.58
  4. Step 4: Simplify right side
    9,867.52x = 80,156,461.62
  5. Step 5: Solve for x
    x = 80,156,461.62/9,867.52
  6. Step 6: Final answer
    x = 8,123.26

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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.