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Finding the Fourth Proportional to 9,155.76, 13,733.66 and 3,311.02

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Solution

The fourth proportional to 9,155.76, 13,733.66 and 3,311.02 is: 4,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.76 : 13,733.66 = 3,311.02 : x
  2. Step 2: Convert to fraction form
    9,155.76/13,733.66 = 3,311.02/x
  3. Step 3: Cross multiply
    9,155.76x = 13,733.66 × 3,311.02
  4. Step 4: Simplify right side
    9,155.76x = 45,472,422.93
  5. Step 5: Solve for x
    x = 45,472,422.93/9,155.76
  6. Step 6: Final answer
    x = 4,966.54

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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.