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Finding the Fourth Proportional to 6,742, 9,304.74 and 4,089.32

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Solution

The fourth proportional to 6,742, 9,304.74 and 4,089.32 is: 5,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742 : 9,304.74 = 4,089.32 : x
  2. Step 2: Convert to fraction form
    6,742/9,304.74 = 4,089.32/x
  3. Step 3: Cross multiply
    6,742x = 9,304.74 × 4,089.32
  4. Step 4: Simplify right side
    6,742x = 38,050,059.38
  5. Step 5: Solve for x
    x = 38,050,059.38/6,742
  6. Step 6: Final answer
    x = 5,643.73

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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.