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Finding the Fourth Proportional to 9,226, 12,731.90 and 5,034.28

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Solution

The fourth proportional to 9,226, 12,731.90 and 5,034.28 is: 6,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226 : 12,731.90 = 5,034.28 : x
  2. Step 2: Convert to fraction form
    9,226/12,731.90 = 5,034.28/x
  3. Step 3: Cross multiply
    9,226x = 12,731.90 × 5,034.28
  4. Step 4: Simplify right side
    9,226x = 64,095,949.53
  5. Step 5: Solve for x
    x = 64,095,949.53/9,226
  6. Step 6: Final answer
    x = 6,947.32

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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.