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Finding the Fourth Proportional to 6,434.19, 9,654.12 and 2,737.26

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Solution

The fourth proportional to 6,434.19, 9,654.12 and 2,737.26 is: 4,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.19 : 9,654.12 = 2,737.26 : x
  2. Step 2: Convert to fraction form
    6,434.19/9,654.12 = 2,737.26/x
  3. Step 3: Cross multiply
    6,434.19x = 9,654.12 × 2,737.26
  4. Step 4: Simplify right side
    6,434.19x = 26,425,836.51
  5. Step 5: Solve for x
    x = 26,425,836.51/6,434.19
  6. Step 6: Final answer
    x = 4,107.10

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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.