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Finding the Fourth Proportional to 6,532.38, 9,017.25 and 4,409.16

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Solution

The fourth proportional to 6,532.38, 9,017.25 and 4,409.16 is: 6,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.38 : 9,017.25 = 4,409.16 : x
  2. Step 2: Convert to fraction form
    6,532.38/9,017.25 = 4,409.16/x
  3. Step 3: Cross multiply
    6,532.38x = 9,017.25 × 4,409.16
  4. Step 4: Simplify right side
    6,532.38x = 39,758,498.01
  5. Step 5: Solve for x
    x = 39,758,498.01/6,532.38
  6. Step 6: Final answer
    x = 6,086.37

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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.