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Finding the Fourth Proportional to 6,299.15, 9,435.77 and 3,695.81

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Solution

The fourth proportional to 6,299.15, 9,435.77 and 3,695.81 is: 5,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.15 : 9,435.77 = 3,695.81 : x
  2. Step 2: Convert to fraction form
    6,299.15/9,435.77 = 3,695.81/x
  3. Step 3: Cross multiply
    6,299.15x = 9,435.77 × 3,695.81
  4. Step 4: Simplify right side
    6,299.15x = 34,872,818.23
  5. Step 5: Solve for x
    x = 34,872,818.23/6,299.15
  6. Step 6: Final answer
    x = 5,536.11

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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.