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Finding the Fourth Proportional to 9,340.68, 12,890.10 and 5,148.92

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Solution

The fourth proportional to 9,340.68, 12,890.10 and 5,148.92 is: 7,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.68 : 12,890.10 = 5,148.92 : x
  2. Step 2: Convert to fraction form
    9,340.68/12,890.10 = 5,148.92/x
  3. Step 3: Cross multiply
    9,340.68x = 12,890.10 × 5,148.92
  4. Step 4: Simplify right side
    9,340.68x = 66,370,093.69
  5. Step 5: Solve for x
    x = 66,370,093.69/9,340.68
  6. Step 6: Final answer
    x = 7,105.49

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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.