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Finding the Fourth Proportional to 9,598.38, 13,245.09 and 5,291.28

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Solution

The fourth proportional to 9,598.38, 13,245.09 and 5,291.28 is: 7,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.38 : 13,245.09 = 5,291.28 : x
  2. Step 2: Convert to fraction form
    9,598.38/13,245.09 = 5,291.28/x
  3. Step 3: Cross multiply
    9,598.38x = 13,245.09 × 5,291.28
  4. Step 4: Simplify right side
    9,598.38x = 70,083,479.82
  5. Step 5: Solve for x
    x = 70,083,479.82/9,598.38
  6. Step 6: Final answer
    x = 7,301.59

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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.