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Finding the Fourth Proportional to 6,152.94, 9,215.52 and 2,859.09

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Solution

The fourth proportional to 6,152.94, 9,215.52 and 2,859.09 is: 4,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.94 : 9,215.52 = 2,859.09 : x
  2. Step 2: Convert to fraction form
    6,152.94/9,215.52 = 2,859.09/x
  3. Step 3: Cross multiply
    6,152.94x = 9,215.52 × 2,859.09
  4. Step 4: Simplify right side
    6,152.94x = 26,348,001.08
  5. Step 5: Solve for x
    x = 26,348,001.08/6,152.94
  6. Step 6: Final answer
    x = 4,282.18

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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.