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Finding the Fourth Proportional to 6,345.84, 9,504.16 and 4,151.54

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Solution

The fourth proportional to 6,345.84, 9,504.16 and 4,151.54 is: 6,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 9,504.16 = 4,151.54 : x
  2. Step 2: Convert to fraction form
    6,345.84/9,504.16 = 4,151.54/x
  3. Step 3: Cross multiply
    6,345.84x = 9,504.16 × 4,151.54
  4. Step 4: Simplify right side
    6,345.84x = 39,456,900.41
  5. Step 5: Solve for x
    x = 39,456,900.41/6,345.84
  6. Step 6: Final answer
    x = 6,217.76

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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.