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Finding the Fourth Proportional to 6,269.64, 9,386.18 and 5,434.18

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Solution

The fourth proportional to 6,269.64, 9,386.18 and 5,434.18 is: 8,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.64 : 9,386.18 = 5,434.18 : x
  2. Step 2: Convert to fraction form
    6,269.64/9,386.18 = 5,434.18/x
  3. Step 3: Cross multiply
    6,269.64x = 9,386.18 × 5,434.18
  4. Step 4: Simplify right side
    6,269.64x = 51,006,191.63
  5. Step 5: Solve for x
    x = 51,006,191.63/6,269.64
  6. Step 6: Final answer
    x = 8,135.43

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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.