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Finding the Fourth Proportional to 9,860.22, 13,610.88 and 6,084

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Solution

The fourth proportional to 9,860.22, 13,610.88 and 6,084 is: 8,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.22 : 13,610.88 = 6,084 : x
  2. Step 2: Convert to fraction form
    9,860.22/13,610.88 = 6,084/x
  3. Step 3: Cross multiply
    9,860.22x = 13,610.88 × 6,084
  4. Step 4: Simplify right side
    9,860.22x = 82,808,593.92
  5. Step 5: Solve for x
    x = 82,808,593.92/9,860.22
  6. Step 6: Final answer
    x = 8,398.25

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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.