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Finding the Fourth Proportional to 6,168.16, 9,256.34 and 5,758.10

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Solution

The fourth proportional to 6,168.16, 9,256.34 and 5,758.10 is: 8,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.16 : 9,256.34 = 5,758.10 : x
  2. Step 2: Convert to fraction form
    6,168.16/9,256.34 = 5,758.10/x
  3. Step 3: Cross multiply
    6,168.16x = 9,256.34 × 5,758.10
  4. Step 4: Simplify right side
    6,168.16x = 53,298,934.18
  5. Step 5: Solve for x
    x = 53,298,934.18/6,168.16
  6. Step 6: Final answer
    x = 8,640.98

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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.