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Finding the Fourth Proportional to 6,520.32, 9,781.24 and 2,362.28

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Solution

The fourth proportional to 6,520.32, 9,781.24 and 2,362.28 is: 3,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.32 : 9,781.24 = 2,362.28 : x
  2. Step 2: Convert to fraction form
    6,520.32/9,781.24 = 2,362.28/x
  3. Step 3: Cross multiply
    6,520.32x = 9,781.24 × 2,362.28
  4. Step 4: Simplify right side
    6,520.32x = 23,106,027.63
  5. Step 5: Solve for x
    x = 23,106,027.63/6,520.32
  6. Step 6: Final answer
    x = 3,543.70

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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.