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Finding the Fourth Proportional to 9,767.31, 13,480.20 and 5,989.71

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Solution

The fourth proportional to 9,767.31, 13,480.20 and 5,989.71 is: 8,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.31 : 13,480.20 = 5,989.71 : x
  2. Step 2: Convert to fraction form
    9,767.31/13,480.20 = 5,989.71/x
  3. Step 3: Cross multiply
    9,767.31x = 13,480.20 × 5,989.71
  4. Step 4: Simplify right side
    9,767.31x = 80,742,488.74
  5. Step 5: Solve for x
    x = 80,742,488.74/9,767.31
  6. Step 6: Final answer
    x = 8,266.60

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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.