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Finding the Fourth Proportional to 9,656.56, 13,319.17 and 8,862.44

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Solution

The fourth proportional to 9,656.56, 13,319.17 and 8,862.44 is: 12,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.56 : 13,319.17 = 8,862.44 : x
  2. Step 2: Convert to fraction form
    9,656.56/13,319.17 = 8,862.44/x
  3. Step 3: Cross multiply
    9,656.56x = 13,319.17 × 8,862.44
  4. Step 4: Simplify right side
    9,656.56x = 118,040,300.66
  5. Step 5: Solve for x
    x = 118,040,300.66/9,656.56
  6. Step 6: Final answer
    x = 12,223.85

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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.