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Finding the Fourth Proportional to 9,887.85, 13,645.32 and 6,110.16

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Solution

The fourth proportional to 9,887.85, 13,645.32 and 6,110.16 is: 8,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.85 : 13,645.32 = 6,110.16 : x
  2. Step 2: Convert to fraction form
    9,887.85/13,645.32 = 6,110.16/x
  3. Step 3: Cross multiply
    9,887.85x = 13,645.32 × 6,110.16
  4. Step 4: Simplify right side
    9,887.85x = 83,375,004.95
  5. Step 5: Solve for x
    x = 83,375,004.95/9,887.85
  6. Step 6: Final answer
    x = 8,432.06

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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.