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Finding the Fourth Proportional to 7,005.38, 9,667.03 and 4,175.95

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Solution

The fourth proportional to 7,005.38, 9,667.03 and 4,175.95 is: 5,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.38 : 9,667.03 = 4,175.95 : x
  2. Step 2: Convert to fraction form
    7,005.38/9,667.03 = 4,175.95/x
  3. Step 3: Cross multiply
    7,005.38x = 9,667.03 × 4,175.95
  4. Step 4: Simplify right side
    7,005.38x = 40,369,023.49
  5. Step 5: Solve for x
    x = 40,369,023.49/7,005.38
  6. Step 6: Final answer
    x = 5,762.57

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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.