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Finding the Fourth Proportional to 9,862.55, 13,611.60 and 6,512.39

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Solution

The fourth proportional to 9,862.55, 13,611.60 and 6,512.39 is: 8,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.55 : 13,611.60 = 6,512.39 : x
  2. Step 2: Convert to fraction form
    9,862.55/13,611.60 = 6,512.39/x
  3. Step 3: Cross multiply
    9,862.55x = 13,611.60 × 6,512.39
  4. Step 4: Simplify right side
    9,862.55x = 88,644,047.72
  5. Step 5: Solve for x
    x = 88,644,047.72/9,862.55
  6. Step 6: Final answer
    x = 8,987.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.