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Finding the Fourth Proportional to 6,097.48, 9,146.82 and 2,811.51

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Solution

The fourth proportional to 6,097.48, 9,146.82 and 2,811.51 is: 4,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.48 : 9,146.82 = 2,811.51 : x
  2. Step 2: Convert to fraction form
    6,097.48/9,146.82 = 2,811.51/x
  3. Step 3: Cross multiply
    6,097.48x = 9,146.82 × 2,811.51
  4. Step 4: Simplify right side
    6,097.48x = 25,716,386.44
  5. Step 5: Solve for x
    x = 25,716,386.44/6,097.48
  6. Step 6: Final answer
    x = 4,217.55

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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.