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Finding the Fourth Proportional to 9,631.64, 13,275.78 and 6,443.79

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Solution

The fourth proportional to 9,631.64, 13,275.78 and 6,443.79 is: 8,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.64 : 13,275.78 = 6,443.79 : x
  2. Step 2: Convert to fraction form
    9,631.64/13,275.78 = 6,443.79/x
  3. Step 3: Cross multiply
    9,631.64x = 13,275.78 × 6,443.79
  4. Step 4: Simplify right side
    9,631.64x = 85,546,338.41
  5. Step 5: Solve for x
    x = 85,546,338.41/9,631.64
  6. Step 6: Final answer
    x = 8,881.80

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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.