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Finding the Fourth Proportional to 9,057.16, 12,496.10 and 5,703.32

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Solution

The fourth proportional to 9,057.16, 12,496.10 and 5,703.32 is: 7,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.16 : 12,496.10 = 5,703.32 : x
  2. Step 2: Convert to fraction form
    9,057.16/12,496.10 = 5,703.32/x
  3. Step 3: Cross multiply
    9,057.16x = 12,496.10 × 5,703.32
  4. Step 4: Simplify right side
    9,057.16x = 71,269,257.05
  5. Step 5: Solve for x
    x = 71,269,257.05/9,057.16
  6. Step 6: Final answer
    x = 7,868.83

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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.