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Finding the Fourth Proportional to 8,020.64, 12,029.45 and 6,469.70

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Solution

The fourth proportional to 8,020.64, 12,029.45 and 6,469.70 is: 9,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.64 : 12,029.45 = 6,469.70 : x
  2. Step 2: Convert to fraction form
    8,020.64/12,029.45 = 6,469.70/x
  3. Step 3: Cross multiply
    8,020.64x = 12,029.45 × 6,469.70
  4. Step 4: Simplify right side
    8,020.64x = 77,826,840.17
  5. Step 5: Solve for x
    x = 77,826,840.17/8,020.64
  6. Step 6: Final answer
    x = 9,703.32

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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.