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Finding the Fourth Proportional to 9,524.27, 14,280.93 and 5,631.41

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Solution

The fourth proportional to 9,524.27, 14,280.93 and 5,631.41 is: 8,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.27 : 14,280.93 = 5,631.41 : x
  2. Step 2: Convert to fraction form
    9,524.27/14,280.93 = 5,631.41/x
  3. Step 3: Cross multiply
    9,524.27x = 14,280.93 × 5,631.41
  4. Step 4: Simplify right side
    9,524.27x = 80,421,700.61
  5. Step 5: Solve for x
    x = 80,421,700.61/9,524.27
  6. Step 6: Final answer
    x = 8,443.87

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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.