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Finding the Fourth Proportional to 9,887.10, 13,640.84 and 6,111.11

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Solution

The fourth proportional to 9,887.10, 13,640.84 and 6,111.11 is: 8,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.10 : 13,640.84 = 6,111.11 : x
  2. Step 2: Convert to fraction form
    9,887.10/13,640.84 = 6,111.11/x
  3. Step 3: Cross multiply
    9,887.10x = 13,640.84 × 6,111.11
  4. Step 4: Simplify right side
    9,887.10x = 83,360,668.43
  5. Step 5: Solve for x
    x = 83,360,668.43/9,887.10
  6. Step 6: Final answer
    x = 8,431.26

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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.