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Finding the Fourth Proportional to 9,225.68, 12,731.40 and 5,034.32

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Solution

The fourth proportional to 9,225.68, 12,731.40 and 5,034.32 is: 6,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.68 : 12,731.40 = 5,034.32 : x
  2. Step 2: Convert to fraction form
    9,225.68/12,731.40 = 5,034.32/x
  3. Step 3: Cross multiply
    9,225.68x = 12,731.40 × 5,034.32
  4. Step 4: Simplify right side
    9,225.68x = 64,093,941.65
  5. Step 5: Solve for x
    x = 64,093,941.65/9,225.68
  6. Step 6: Final answer
    x = 6,947.34

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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.