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Finding the Fourth Proportional to 9,876.24, 13,627.08 and 5,684.88

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Solution

The fourth proportional to 9,876.24, 13,627.08 and 5,684.88 is: 7,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.24 : 13,627.08 = 5,684.88 : x
  2. Step 2: Convert to fraction form
    9,876.24/13,627.08 = 5,684.88/x
  3. Step 3: Cross multiply
    9,876.24x = 13,627.08 × 5,684.88
  4. Step 4: Simplify right side
    9,876.24x = 77,468,314.55
  5. Step 5: Solve for x
    x = 77,468,314.55/9,876.24
  6. Step 6: Final answer
    x = 7,843.91

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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.