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Finding the Fourth Proportional to 9,251.64, 13,862.88 and 5,085.45

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Solution

The fourth proportional to 9,251.64, 13,862.88 and 5,085.45 is: 7,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.64 : 13,862.88 = 5,085.45 : x
  2. Step 2: Convert to fraction form
    9,251.64/13,862.88 = 5,085.45/x
  3. Step 3: Cross multiply
    9,251.64x = 13,862.88 × 5,085.45
  4. Step 4: Simplify right side
    9,251.64x = 70,498,983.10
  5. Step 5: Solve for x
    x = 70,498,983.10/9,251.64
  6. Step 6: Final answer
    x = 7,620.16

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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.