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Finding the Fourth Proportional to 6,097.16, 8,414.03 and 3,302.66

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Solution

The fourth proportional to 6,097.16, 8,414.03 and 3,302.66 is: 4,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.16 : 8,414.03 = 3,302.66 : x
  2. Step 2: Convert to fraction form
    6,097.16/8,414.03 = 3,302.66/x
  3. Step 3: Cross multiply
    6,097.16x = 8,414.03 × 3,302.66
  4. Step 4: Simplify right side
    6,097.16x = 27,788,621.74
  5. Step 5: Solve for x
    x = 27,788,621.74/6,097.16
  6. Step 6: Final answer
    x = 4,557.64

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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.