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Finding the Fourth Proportional to 9,414.51, 12,990.60 and 5,380.65

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Solution

The fourth proportional to 9,414.51, 12,990.60 and 5,380.65 is: 7,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.51 : 12,990.60 = 5,380.65 : x
  2. Step 2: Convert to fraction form
    9,414.51/12,990.60 = 5,380.65/x
  3. Step 3: Cross multiply
    9,414.51x = 12,990.60 × 5,380.65
  4. Step 4: Simplify right side
    9,414.51x = 69,897,871.89
  5. Step 5: Solve for x
    x = 69,897,871.89/9,414.51
  6. Step 6: Final answer
    x = 7,424.48

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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.