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Finding the Fourth Proportional to 9,429.88, 14,157.18 and 6,323.78

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Solution

The fourth proportional to 9,429.88, 14,157.18 and 6,323.78 is: 9,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.88 : 14,157.18 = 6,323.78 : x
  2. Step 2: Convert to fraction form
    9,429.88/14,157.18 = 6,323.78/x
  3. Step 3: Cross multiply
    9,429.88x = 14,157.18 × 6,323.78
  4. Step 4: Simplify right side
    9,429.88x = 89,526,891.74
  5. Step 5: Solve for x
    x = 89,526,891.74/9,429.88
  6. Step 6: Final answer
    x = 9,493.96

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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.