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Finding the Fourth Proportional to 9,938.32, 13,713.78 and 5,959.60

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Solution

The fourth proportional to 9,938.32, 13,713.78 and 5,959.60 is: 8,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.32 : 13,713.78 = 5,959.60 : x
  2. Step 2: Convert to fraction form
    9,938.32/13,713.78 = 5,959.60/x
  3. Step 3: Cross multiply
    9,938.32x = 13,713.78 × 5,959.60
  4. Step 4: Simplify right side
    9,938.32x = 81,728,643.29
  5. Step 5: Solve for x
    x = 81,728,643.29/9,938.32
  6. Step 6: Final answer
    x = 8,223.59

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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.