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Finding the Fourth Proportional to 9,487.98, 14,234.28 and 4,292.46

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Solution

The fourth proportional to 9,487.98, 14,234.28 and 4,292.46 is: 6,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.98 : 14,234.28 = 4,292.46 : x
  2. Step 2: Convert to fraction form
    9,487.98/14,234.28 = 4,292.46/x
  3. Step 3: Cross multiply
    9,487.98x = 14,234.28 × 4,292.46
  4. Step 4: Simplify right side
    9,487.98x = 61,100,077.53
  5. Step 5: Solve for x
    x = 61,100,077.53/9,487.98
  6. Step 6: Final answer
    x = 6,439.74

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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.