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Finding the Fourth Proportional to 9,966.63, 13,751.13 and 6,431.88

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Solution

The fourth proportional to 9,966.63, 13,751.13 and 6,431.88 is: 8,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.63 : 13,751.13 = 6,431.88 : x
  2. Step 2: Convert to fraction form
    9,966.63/13,751.13 = 6,431.88/x
  3. Step 3: Cross multiply
    9,966.63x = 13,751.13 × 6,431.88
  4. Step 4: Simplify right side
    9,966.63x = 88,445,618.02
  5. Step 5: Solve for x
    x = 88,445,618.02/9,966.63
  6. Step 6: Final answer
    x = 8,874.17

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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.