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Finding the Fourth Proportional to 9,523.80, 14,281.56 and 5,579.28

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Solution

The fourth proportional to 9,523.80, 14,281.56 and 5,579.28 is: 8,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.80 : 14,281.56 = 5,579.28 : x
  2. Step 2: Convert to fraction form
    9,523.80/14,281.56 = 5,579.28/x
  3. Step 3: Cross multiply
    9,523.80x = 14,281.56 × 5,579.28
  4. Step 4: Simplify right side
    9,523.80x = 79,680,822.08
  5. Step 5: Solve for x
    x = 79,680,822.08/9,523.80
  6. Step 6: Final answer
    x = 8,366.49

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