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Finding the Fourth Proportional to 6,552.84, 9,799.07 and 4,867.41

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Solution

The fourth proportional to 6,552.84, 9,799.07 and 4,867.41 is: 7,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.84 : 9,799.07 = 4,867.41 : x
  2. Step 2: Convert to fraction form
    6,552.84/9,799.07 = 4,867.41/x
  3. Step 3: Cross multiply
    6,552.84x = 9,799.07 × 4,867.41
  4. Step 4: Simplify right side
    6,552.84x = 47,696,066.97
  5. Step 5: Solve for x
    x = 47,696,066.97/6,552.84
  6. Step 6: Final answer
    x = 7,278.69

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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.