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Finding the Fourth Proportional to 8,974.16, 12,382.32 and 5,437.28

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Solution

The fourth proportional to 8,974.16, 12,382.32 and 5,437.28 is: 7,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.16 : 12,382.32 = 5,437.28 : x
  2. Step 2: Convert to fraction form
    8,974.16/12,382.32 = 5,437.28/x
  3. Step 3: Cross multiply
    8,974.16x = 12,382.32 × 5,437.28
  4. Step 4: Simplify right side
    8,974.16x = 67,326,140.89
  5. Step 5: Solve for x
    x = 67,326,140.89/8,974.16
  6. Step 6: Final answer
    x = 7,502.22

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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.