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Finding the Fourth Proportional to 9,234.70, 13,832.55 and 6,116.20

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Solution

The fourth proportional to 9,234.70, 13,832.55 and 6,116.20 is: 9,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.70 : 13,832.55 = 6,116.20 : x
  2. Step 2: Convert to fraction form
    9,234.70/13,832.55 = 6,116.20/x
  3. Step 3: Cross multiply
    9,234.70x = 13,832.55 × 6,116.20
  4. Step 4: Simplify right side
    9,234.70x = 84,602,642.31
  5. Step 5: Solve for x
    x = 84,602,642.31/9,234.70
  6. Step 6: Final answer
    x = 9,161.39

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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.