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Finding the Fourth Proportional to 9,498.24, 13,111.17 and 7,147.20

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Solution

The fourth proportional to 9,498.24, 13,111.17 and 7,147.20 is: 9,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.24 : 13,111.17 = 7,147.20 : x
  2. Step 2: Convert to fraction form
    9,498.24/13,111.17 = 7,147.20/x
  3. Step 3: Cross multiply
    9,498.24x = 13,111.17 × 7,147.20
  4. Step 4: Simplify right side
    9,498.24x = 93,708,154.22
  5. Step 5: Solve for x
    x = 93,708,154.22/9,498.24
  6. Step 6: Final answer
    x = 9,865.84

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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.