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Finding the Fourth Proportional to 9,382.06, 12,947.60 and 5,133.42

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Solution

The fourth proportional to 9,382.06, 12,947.60 and 5,133.42 is: 7,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.06 : 12,947.60 = 5,133.42 : x
  2. Step 2: Convert to fraction form
    9,382.06/12,947.60 = 5,133.42/x
  3. Step 3: Cross multiply
    9,382.06x = 12,947.60 × 5,133.42
  4. Step 4: Simplify right side
    9,382.06x = 66,465,468.79
  5. Step 5: Solve for x
    x = 66,465,468.79/9,382.06
  6. Step 6: Final answer
    x = 7,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.