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Finding the Fourth Proportional to 9,498.25, 14,252.24 and 4,234.87

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Solution

The fourth proportional to 9,498.25, 14,252.24 and 4,234.87 is: 6,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.25 : 14,252.24 = 4,234.87 : x
  2. Step 2: Convert to fraction form
    9,498.25/14,252.24 = 4,234.87/x
  3. Step 3: Cross multiply
    9,498.25x = 14,252.24 × 4,234.87
  4. Step 4: Simplify right side
    9,498.25x = 60,356,383.61
  5. Step 5: Solve for x
    x = 60,356,383.61/9,498.25
  6. Step 6: Final answer
    x = 6,354.47

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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.