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Finding the Fourth Proportional to 7,014.50, 9,680.07 and 3,870.77

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Solution

The fourth proportional to 7,014.50, 9,680.07 and 3,870.77 is: 5,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.50 : 9,680.07 = 3,870.77 : x
  2. Step 2: Convert to fraction form
    7,014.50/9,680.07 = 3,870.77/x
  3. Step 3: Cross multiply
    7,014.50x = 9,680.07 × 3,870.77
  4. Step 4: Simplify right side
    7,014.50x = 37,469,324.55
  5. Step 5: Solve for x
    x = 37,469,324.55/7,014.50
  6. Step 6: Final answer
    x = 5,341.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.