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Finding the Fourth Proportional to 9,434.76, 14,152.20 and 3,884.16

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Solution

The fourth proportional to 9,434.76, 14,152.20 and 3,884.16 is: 5,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.76 : 14,152.20 = 3,884.16 : x
  2. Step 2: Convert to fraction form
    9,434.76/14,152.20 = 3,884.16/x
  3. Step 3: Cross multiply
    9,434.76x = 14,152.20 × 3,884.16
  4. Step 4: Simplify right side
    9,434.76x = 54,969,409.15
  5. Step 5: Solve for x
    x = 54,969,409.15/9,434.76
  6. Step 6: Final answer
    x = 5,826.26

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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.