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Finding the Fourth Proportional to 6,748.84, 9,324.82 and 4,856.68

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Solution

The fourth proportional to 6,748.84, 9,324.82 and 4,856.68 is: 6,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.84 : 9,324.82 = 4,856.68 : x
  2. Step 2: Convert to fraction form
    6,748.84/9,324.82 = 4,856.68/x
  3. Step 3: Cross multiply
    6,748.84x = 9,324.82 × 4,856.68
  4. Step 4: Simplify right side
    6,748.84x = 45,287,595.89
  5. Step 5: Solve for x
    x = 45,287,595.89/6,748.84
  6. Step 6: Final answer
    x = 6,710.43

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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.