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Finding the Fourth Proportional to 6,746.34, 9,311.18 and 4,230.65

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Solution

The fourth proportional to 6,746.34, 9,311.18 and 4,230.65 is: 5,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.34 : 9,311.18 = 4,230.65 : x
  2. Step 2: Convert to fraction form
    6,746.34/9,311.18 = 4,230.65/x
  3. Step 3: Cross multiply
    6,746.34x = 9,311.18 × 4,230.65
  4. Step 4: Simplify right side
    6,746.34x = 39,392,343.67
  5. Step 5: Solve for x
    x = 39,392,343.67/6,746.34
  6. Step 6: Final answer
    x = 5,839.07

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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.