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Finding the Fourth Proportional to 9,234.54, 13,856.40 and 4,304.55

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Solution

The fourth proportional to 9,234.54, 13,856.40 and 4,304.55 is: 6,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.54 : 13,856.40 = 4,304.55 : x
  2. Step 2: Convert to fraction form
    9,234.54/13,856.40 = 4,304.55/x
  3. Step 3: Cross multiply
    9,234.54x = 13,856.40 × 4,304.55
  4. Step 4: Simplify right side
    9,234.54x = 59,645,566.62
  5. Step 5: Solve for x
    x = 59,645,566.62/9,234.54
  6. Step 6: Final answer
    x = 6,458.96

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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.