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Finding the Fourth Proportional to 9,824.59, 14,737.03 and 5,469.72

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Solution

The fourth proportional to 9,824.59, 14,737.03 and 5,469.72 is: 8,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.59 : 14,737.03 = 5,469.72 : x
  2. Step 2: Convert to fraction form
    9,824.59/14,737.03 = 5,469.72/x
  3. Step 3: Cross multiply
    9,824.59x = 14,737.03 × 5,469.72
  4. Step 4: Simplify right side
    9,824.59x = 80,607,427.73
  5. Step 5: Solve for x
    x = 80,607,427.73/9,824.59
  6. Step 6: Final answer
    x = 8,204.66

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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.