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Finding the Fourth Proportional to 6,748.12, 9,306.32 and 4,230.48

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Solution

The fourth proportional to 6,748.12, 9,306.32 and 4,230.48 is: 5,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.12 : 9,306.32 = 4,230.48 : x
  2. Step 2: Convert to fraction form
    6,748.12/9,306.32 = 4,230.48/x
  3. Step 3: Cross multiply
    6,748.12x = 9,306.32 × 4,230.48
  4. Step 4: Simplify right side
    6,748.12x = 39,370,200.63
  5. Step 5: Solve for x
    x = 39,370,200.63/6,748.12
  6. Step 6: Final answer
    x = 5,834.25

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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.