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Finding the Fourth Proportional to 9,885.60, 14,826.96 and 3,311.76

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Solution

The fourth proportional to 9,885.60, 14,826.96 and 3,311.76 is: 4,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.60 : 14,826.96 = 3,311.76 : x
  2. Step 2: Convert to fraction form
    9,885.60/14,826.96 = 3,311.76/x
  3. Step 3: Cross multiply
    9,885.60x = 14,826.96 × 3,311.76
  4. Step 4: Simplify right side
    9,885.60x = 49,103,333.05
  5. Step 5: Solve for x
    x = 49,103,333.05/9,885.60
  6. Step 6: Final answer
    x = 4,967.16

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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.