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Finding the Fourth Proportional to 6,095.16, 8,414.13 and 4,304.10

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Solution

The fourth proportional to 6,095.16, 8,414.13 and 4,304.10 is: 5,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.16 : 8,414.13 = 4,304.10 : x
  2. Step 2: Convert to fraction form
    6,095.16/8,414.13 = 4,304.10/x
  3. Step 3: Cross multiply
    6,095.16x = 8,414.13 × 4,304.10
  4. Step 4: Simplify right side
    6,095.16x = 36,215,256.93
  5. Step 5: Solve for x
    x = 36,215,256.93/6,095.16
  6. Step 6: Final answer
    x = 5,941.64

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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.