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Finding the Fourth Proportional to 6,472.98, 9,688.58 and 3,348.68

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Solution

The fourth proportional to 6,472.98, 9,688.58 and 3,348.68 is: 5,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.98 : 9,688.58 = 3,348.68 : x
  2. Step 2: Convert to fraction form
    6,472.98/9,688.58 = 3,348.68/x
  3. Step 3: Cross multiply
    6,472.98x = 9,688.58 × 3,348.68
  4. Step 4: Simplify right side
    6,472.98x = 32,443,986.67
  5. Step 5: Solve for x
    x = 32,443,986.67/6,472.98
  6. Step 6: Final answer
    x = 5,012.22

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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.