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Finding the Fourth Proportional to 9,531.20, 14,275.20 and 5,643.20

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Solution

The fourth proportional to 9,531.20, 14,275.20 and 5,643.20 is: 8,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.20 : 14,275.20 = 5,643.20 : x
  2. Step 2: Convert to fraction form
    9,531.20/14,275.20 = 5,643.20/x
  3. Step 3: Cross multiply
    9,531.20x = 14,275.20 × 5,643.20
  4. Step 4: Simplify right side
    9,531.20x = 80,557,808.64
  5. Step 5: Solve for x
    x = 80,557,808.64/9,531.20
  6. Step 6: Final answer
    x = 8,452.01

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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.