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Finding the Fourth Proportional to 6,512.20, 9,768.30 and 5,710.30

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Solution

The fourth proportional to 6,512.20, 9,768.30 and 5,710.30 is: 8,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.20 : 9,768.30 = 5,710.30 : x
  2. Step 2: Convert to fraction form
    6,512.20/9,768.30 = 5,710.30/x
  3. Step 3: Cross multiply
    6,512.20x = 9,768.30 × 5,710.30
  4. Step 4: Simplify right side
    6,512.20x = 55,779,923.49
  5. Step 5: Solve for x
    x = 55,779,923.49/6,512.20
  6. Step 6: Final answer
    x = 8,565.45

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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.