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Finding the Fourth Proportional to 6,959.42, 10,434.16 and 3,259.62

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Solution

The fourth proportional to 6,959.42, 10,434.16 and 3,259.62 is: 4,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.42 : 10,434.16 = 3,259.62 : x
  2. Step 2: Convert to fraction form
    6,959.42/10,434.16 = 3,259.62/x
  3. Step 3: Cross multiply
    6,959.42x = 10,434.16 × 3,259.62
  4. Step 4: Simplify right side
    6,959.42x = 34,011,396.62
  5. Step 5: Solve for x
    x = 34,011,396.62/6,959.42
  6. Step 6: Final answer
    x = 4,887.10

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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.