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Finding the Fourth Proportional to 9,340.38, 12,889.66 and 5,148.63

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Solution

The fourth proportional to 9,340.38, 12,889.66 and 5,148.63 is: 7,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.38 : 12,889.66 = 5,148.63 : x
  2. Step 2: Convert to fraction form
    9,340.38/12,889.66 = 5,148.63/x
  3. Step 3: Cross multiply
    9,340.38x = 12,889.66 × 5,148.63
  4. Step 4: Simplify right side
    9,340.38x = 66,364,090.17
  5. Step 5: Solve for x
    x = 66,364,090.17/9,340.38
  6. Step 6: Final answer
    x = 7,105.07

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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.