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Finding the Fourth Proportional to 6,272.66, 9,409.08 and 1,592.57

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Solution

The fourth proportional to 6,272.66, 9,409.08 and 1,592.57 is: 2,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.66 : 9,409.08 = 1,592.57 : x
  2. Step 2: Convert to fraction form
    6,272.66/9,409.08 = 1,592.57/x
  3. Step 3: Cross multiply
    6,272.66x = 9,409.08 × 1,592.57
  4. Step 4: Simplify right side
    6,272.66x = 14,984,618.54
  5. Step 5: Solve for x
    x = 14,984,618.54/6,272.66
  6. Step 6: Final answer
    x = 2,388.88

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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.