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Finding the Fourth Proportional to 9,863.55, 13,612.98 and 6,513.39

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Solution

The fourth proportional to 9,863.55, 13,612.98 and 6,513.39 is: 8,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.55 : 13,612.98 = 6,513.39 : x
  2. Step 2: Convert to fraction form
    9,863.55/13,612.98 = 6,513.39/x
  3. Step 3: Cross multiply
    9,863.55x = 13,612.98 × 6,513.39
  4. Step 4: Simplify right side
    9,863.55x = 88,666,647.80
  5. Step 5: Solve for x
    x = 88,666,647.80/9,863.55
  6. Step 6: Final answer
    x = 8,989.32

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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.