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Finding the Fourth Proportional to 9,225.96, 12,731.88 and 5,034.24

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Solution

The fourth proportional to 9,225.96, 12,731.88 and 5,034.24 is: 6,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.96 : 12,731.88 = 5,034.24 : x
  2. Step 2: Convert to fraction form
    9,225.96/12,731.88 = 5,034.24/x
  3. Step 3: Cross multiply
    9,225.96x = 12,731.88 × 5,034.24
  4. Step 4: Simplify right side
    9,225.96x = 64,095,339.57
  5. Step 5: Solve for x
    x = 64,095,339.57/9,225.96
  6. Step 6: Final answer
    x = 6,947.28

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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.