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Finding the Fourth Proportional to 9,231.44, 13,841.64 and 4,302.18

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Solution

The fourth proportional to 9,231.44, 13,841.64 and 4,302.18 is: 6,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.44 : 13,841.64 = 4,302.18 : x
  2. Step 2: Convert to fraction form
    9,231.44/13,841.64 = 4,302.18/x
  3. Step 3: Cross multiply
    9,231.44x = 13,841.64 × 4,302.18
  4. Step 4: Simplify right side
    9,231.44x = 59,549,226.78
  5. Step 5: Solve for x
    x = 59,549,226.78/9,231.44
  6. Step 6: Final answer
    x = 6,450.70

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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.