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Finding the Fourth Proportional to 6,967.30, 9,614.67 and 4,605.34

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Solution

The fourth proportional to 6,967.30, 9,614.67 and 4,605.34 is: 6,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.30 : 9,614.67 = 4,605.34 : x
  2. Step 2: Convert to fraction form
    6,967.30/9,614.67 = 4,605.34/x
  3. Step 3: Cross multiply
    6,967.30x = 9,614.67 × 4,605.34
  4. Step 4: Simplify right side
    6,967.30x = 44,278,824.34
  5. Step 5: Solve for x
    x = 44,278,824.34/6,967.30
  6. Step 6: Final answer
    x = 6,355.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.