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Finding the Fourth Proportional to 9,024.18, 13,502.22 and 5,328.42

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Solution

The fourth proportional to 9,024.18, 13,502.22 and 5,328.42 is: 7,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.18 : 13,502.22 = 5,328.42 : x
  2. Step 2: Convert to fraction form
    9,024.18/13,502.22 = 5,328.42/x
  3. Step 3: Cross multiply
    9,024.18x = 13,502.22 × 5,328.42
  4. Step 4: Simplify right side
    9,024.18x = 71,945,499.09
  5. Step 5: Solve for x
    x = 71,945,499.09/9,024.18
  6. Step 6: Final answer
    x = 7,972.52

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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.