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Finding the Fourth Proportional to 9,234.56, 13,842.27 and 4,300.14

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Solution

The fourth proportional to 9,234.56, 13,842.27 and 4,300.14 is: 6,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.56 : 13,842.27 = 4,300.14 : x
  2. Step 2: Convert to fraction form
    9,234.56/13,842.27 = 4,300.14/x
  3. Step 3: Cross multiply
    9,234.56x = 13,842.27 × 4,300.14
  4. Step 4: Simplify right side
    9,234.56x = 59,523,698.92
  5. Step 5: Solve for x
    x = 59,523,698.92/9,234.56
  6. Step 6: Final answer
    x = 6,445.75

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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.