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Finding the Fourth Proportional to 8,967.52, 13,448.02 and 3,422.40

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Solution

The fourth proportional to 8,967.52, 13,448.02 and 3,422.40 is: 5,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.52 : 13,448.02 = 3,422.40 : x
  2. Step 2: Convert to fraction form
    8,967.52/13,448.02 = 3,422.40/x
  3. Step 3: Cross multiply
    8,967.52x = 13,448.02 × 3,422.40
  4. Step 4: Simplify right side
    8,967.52x = 46,024,503.65
  5. Step 5: Solve for x
    x = 46,024,503.65/8,967.52
  6. Step 6: Final answer
    x = 5,132.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.