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Finding the Fourth Proportional to 6,434.80, 9,656.81 and 2,739.62

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Solution

The fourth proportional to 6,434.80, 9,656.81 and 2,739.62 is: 4,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.80 : 9,656.81 = 2,739.62 : x
  2. Step 2: Convert to fraction form
    6,434.80/9,656.81 = 2,739.62/x
  3. Step 3: Cross multiply
    6,434.80x = 9,656.81 × 2,739.62
  4. Step 4: Simplify right side
    6,434.80x = 26,455,989.81
  5. Step 5: Solve for x
    x = 26,455,989.81/6,434.80
  6. Step 6: Final answer
    x = 4,111.39

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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.