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Finding the Fourth Proportional to 6,903.20, 9,523.50 and 5,707.64

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Solution

The fourth proportional to 6,903.20, 9,523.50 and 5,707.64 is: 7,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.20 : 9,523.50 = 5,707.64 : x
  2. Step 2: Convert to fraction form
    6,903.20/9,523.50 = 5,707.64/x
  3. Step 3: Cross multiply
    6,903.20x = 9,523.50 × 5,707.64
  4. Step 4: Simplify right side
    6,903.20x = 54,356,709.54
  5. Step 5: Solve for x
    x = 54,356,709.54/6,903.20
  6. Step 6: Final answer
    x = 7,874.13

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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.