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Finding the Fourth Proportional to 9,517.16, 13,137.18 and 7,155.20

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Solution

The fourth proportional to 9,517.16, 13,137.18 and 7,155.20 is: 9,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.16 : 13,137.18 = 7,155.20 : x
  2. Step 2: Convert to fraction form
    9,517.16/13,137.18 = 7,155.20/x
  3. Step 3: Cross multiply
    9,517.16x = 13,137.18 × 7,155.20
  4. Step 4: Simplify right side
    9,517.16x = 93,999,150.34
  5. Step 5: Solve for x
    x = 93,999,150.34/9,517.16
  6. Step 6: Final answer
    x = 9,876.81

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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.