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Finding the Fourth Proportional to 9,517.10, 13,121.39 and 7,389.02

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Solution

The fourth proportional to 9,517.10, 13,121.39 and 7,389.02 is: 10,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.10 : 13,121.39 = 7,389.02 : x
  2. Step 2: Convert to fraction form
    9,517.10/13,121.39 = 7,389.02/x
  3. Step 3: Cross multiply
    9,517.10x = 13,121.39 × 7,389.02
  4. Step 4: Simplify right side
    9,517.10x = 96,954,264.41
  5. Step 5: Solve for x
    x = 96,954,264.41/9,517.10
  6. Step 6: Final answer
    x = 10,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.