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Finding the Fourth Proportional to 9,233.38, 12,742 and 5,041.63

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Solution

The fourth proportional to 9,233.38, 12,742 and 5,041.63 is: 6,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.38 : 12,742 = 5,041.63 : x
  2. Step 2: Convert to fraction form
    9,233.38/12,742 = 5,041.63/x
  3. Step 3: Cross multiply
    9,233.38x = 12,742 × 5,041.63
  4. Step 4: Simplify right side
    9,233.38x = 64,240,449.46
  5. Step 5: Solve for x
    x = 64,240,449.46/9,233.38
  6. Step 6: Final answer
    x = 6,957.41

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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.