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Finding the Fourth Proportional to 9,521.42, 13,138 and 5,982.13

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Solution

The fourth proportional to 9,521.42, 13,138 and 5,982.13 is: 8,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.42 : 13,138 = 5,982.13 : x
  2. Step 2: Convert to fraction form
    9,521.42/13,138 = 5,982.13/x
  3. Step 3: Cross multiply
    9,521.42x = 13,138 × 5,982.13
  4. Step 4: Simplify right side
    9,521.42x = 78,593,223.94
  5. Step 5: Solve for x
    x = 78,593,223.94/9,521.42
  6. Step 6: Final answer
    x = 8,254.36

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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.