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Finding the Fourth Proportional to 9,340.63, 12,890.06 and 5,148.97

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Solution

The fourth proportional to 9,340.63, 12,890.06 and 5,148.97 is: 7,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.63 : 12,890.06 = 5,148.97 : x
  2. Step 2: Convert to fraction form
    9,340.63/12,890.06 = 5,148.97/x
  3. Step 3: Cross multiply
    9,340.63x = 12,890.06 × 5,148.97
  4. Step 4: Simplify right side
    9,340.63x = 66,370,480.66
  5. Step 5: Solve for x
    x = 66,370,480.66/9,340.63
  6. Step 6: Final answer
    x = 7,105.57

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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.