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Finding the Fourth Proportional to 9,885.84, 14,800.98 and 5,427.24

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Solution

The fourth proportional to 9,885.84, 14,800.98 and 5,427.24 is: 8,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 14,800.98 = 5,427.24 : x
  2. Step 2: Convert to fraction form
    9,885.84/14,800.98 = 5,427.24/x
  3. Step 3: Cross multiply
    9,885.84x = 14,800.98 × 5,427.24
  4. Step 4: Simplify right side
    9,885.84x = 80,328,470.70
  5. Step 5: Solve for x
    x = 80,328,470.70/9,885.84
  6. Step 6: Final answer
    x = 8,125.61

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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.