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Finding the Fourth Proportional to 9,865.90, 13,619.91 and 6,513.58

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Solution

The fourth proportional to 9,865.90, 13,619.91 and 6,513.58 is: 8,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.90 : 13,619.91 = 6,513.58 : x
  2. Step 2: Convert to fraction form
    9,865.90/13,619.91 = 6,513.58/x
  3. Step 3: Cross multiply
    9,865.90x = 13,619.91 × 6,513.58
  4. Step 4: Simplify right side
    9,865.90x = 88,714,373.38
  5. Step 5: Solve for x
    x = 88,714,373.38/9,865.90
  6. Step 6: Final answer
    x = 8,992.02

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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.