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Finding the Fourth Proportional to 7,144.29, 9,859.47 and 4,311.61

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Solution

The fourth proportional to 7,144.29, 9,859.47 and 4,311.61 is: 5,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.29 : 9,859.47 = 4,311.61 : x
  2. Step 2: Convert to fraction form
    7,144.29/9,859.47 = 4,311.61/x
  3. Step 3: Cross multiply
    7,144.29x = 9,859.47 × 4,311.61
  4. Step 4: Simplify right side
    7,144.29x = 42,510,209.50
  5. Step 5: Solve for x
    x = 42,510,209.50/7,144.29
  6. Step 6: Final answer
    x = 5,950.24

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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.