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Finding the Fourth Proportional to 7,014.38, 9,680.04 and 3,870.77

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Solution

The fourth proportional to 7,014.38, 9,680.04 and 3,870.77 is: 5,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.38 : 9,680.04 = 3,870.77 : x
  2. Step 2: Convert to fraction form
    7,014.38/9,680.04 = 3,870.77/x
  3. Step 3: Cross multiply
    7,014.38x = 9,680.04 × 3,870.77
  4. Step 4: Simplify right side
    7,014.38x = 37,469,160.03
  5. Step 5: Solve for x
    x = 37,469,160.03/7,014.38
  6. Step 6: Final answer
    x = 5,341.77

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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.