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Finding the Fourth Proportional to 6,170.64, 9,257.30 and 2,881.92

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Solution

The fourth proportional to 6,170.64, 9,257.30 and 2,881.92 is: 4,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.64 : 9,257.30 = 2,881.92 : x
  2. Step 2: Convert to fraction form
    6,170.64/9,257.30 = 2,881.92/x
  3. Step 3: Cross multiply
    6,170.64x = 9,257.30 × 2,881.92
  4. Step 4: Simplify right side
    6,170.64x = 26,678,798.02
  5. Step 5: Solve for x
    x = 26,678,798.02/6,170.64
  6. Step 6: Final answer
    x = 4,323.51

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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.