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Finding the Fourth Proportional to 6,348.06, 9,524.16 and 3,061.53

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Solution

The fourth proportional to 6,348.06, 9,524.16 and 3,061.53 is: 4,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.06 : 9,524.16 = 3,061.53 : x
  2. Step 2: Convert to fraction form
    6,348.06/9,524.16 = 3,061.53/x
  3. Step 3: Cross multiply
    6,348.06x = 9,524.16 × 3,061.53
  4. Step 4: Simplify right side
    6,348.06x = 29,158,501.56
  5. Step 5: Solve for x
    x = 29,158,501.56/6,348.06
  6. Step 6: Final answer
    x = 4,593.29

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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.