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Finding the Fourth Proportional to 6,230.88, 9,347.04 and 1,614.24

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Solution

The fourth proportional to 6,230.88, 9,347.04 and 1,614.24 is: 2,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.88 : 9,347.04 = 1,614.24 : x
  2. Step 2: Convert to fraction form
    6,230.88/9,347.04 = 1,614.24/x
  3. Step 3: Cross multiply
    6,230.88x = 9,347.04 × 1,614.24
  4. Step 4: Simplify right side
    6,230.88x = 15,088,365.85
  5. Step 5: Solve for x
    x = 15,088,365.85/6,230.88
  6. Step 6: Final answer
    x = 2,421.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.