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Finding the Fourth Proportional to 9,918.90, 13,680.18 and 8,431.74

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Solution

The fourth proportional to 9,918.90, 13,680.18 and 8,431.74 is: 11,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.90 : 13,680.18 = 8,431.74 : x
  2. Step 2: Convert to fraction form
    9,918.90/13,680.18 = 8,431.74/x
  3. Step 3: Cross multiply
    9,918.90x = 13,680.18 × 8,431.74
  4. Step 4: Simplify right side
    9,918.90x = 115,347,720.91
  5. Step 5: Solve for x
    x = 115,347,720.91/9,918.90
  6. Step 6: Final answer
    x = 11,629.08

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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.