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Finding the Fourth Proportional to 9,524.61, 13,148.52 and 6,343.20

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Solution

The fourth proportional to 9,524.61, 13,148.52 and 6,343.20 is: 8,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.61 : 13,148.52 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    9,524.61/13,148.52 = 6,343.20/x
  3. Step 3: Cross multiply
    9,524.61x = 13,148.52 × 6,343.20
  4. Step 4: Simplify right side
    9,524.61x = 83,403,692.06
  5. Step 5: Solve for x
    x = 83,403,692.06/9,524.61
  6. Step 6: Final answer
    x = 8,756.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.