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Finding the Fourth Proportional to 6,500.12, 8,965.06 and 5,605.34

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Solution

The fourth proportional to 6,500.12, 8,965.06 and 5,605.34 is: 7,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.12 : 8,965.06 = 5,605.34 : x
  2. Step 2: Convert to fraction form
    6,500.12/8,965.06 = 5,605.34/x
  3. Step 3: Cross multiply
    6,500.12x = 8,965.06 × 5,605.34
  4. Step 4: Simplify right side
    6,500.12x = 50,252,150.58
  5. Step 5: Solve for x
    x = 50,252,150.58/6,500.12
  6. Step 6: Final answer
    x = 7,730.96

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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.