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Finding the Fourth Proportional to 9,294.40, 12,828.56 and 5,755.52

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Solution

The fourth proportional to 9,294.40, 12,828.56 and 5,755.52 is: 7,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.40 : 12,828.56 = 5,755.52 : x
  2. Step 2: Convert to fraction form
    9,294.40/12,828.56 = 5,755.52/x
  3. Step 3: Cross multiply
    9,294.40x = 12,828.56 × 5,755.52
  4. Step 4: Simplify right side
    9,294.40x = 73,835,033.65
  5. Step 5: Solve for x
    x = 73,835,033.65/9,294.40
  6. Step 6: Final answer
    x = 7,944.03

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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.