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Finding the Fourth Proportional to 9,057.06, 12,504.11 and 5,702.75

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Solution

The fourth proportional to 9,057.06, 12,504.11 and 5,702.75 is: 7,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.06 : 12,504.11 = 5,702.75 : x
  2. Step 2: Convert to fraction form
    9,057.06/12,504.11 = 5,702.75/x
  3. Step 3: Cross multiply
    9,057.06x = 12,504.11 × 5,702.75
  4. Step 4: Simplify right side
    9,057.06x = 71,307,769.16
  5. Step 5: Solve for x
    x = 71,307,769.16/9,057.06
  6. Step 6: Final answer
    x = 7,873.17

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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.