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Finding the Fourth Proportional to 7,074.87, 9,760.66 and 4,384.86

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Solution

The fourth proportional to 7,074.87, 9,760.66 and 4,384.86 is: 6,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.87 : 9,760.66 = 4,384.86 : x
  2. Step 2: Convert to fraction form
    7,074.87/9,760.66 = 4,384.86/x
  3. Step 3: Cross multiply
    7,074.87x = 9,760.66 × 4,384.86
  4. Step 4: Simplify right side
    7,074.87x = 42,799,127.61
  5. Step 5: Solve for x
    x = 42,799,127.61/7,074.87
  6. Step 6: Final answer
    x = 6,049.46

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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.