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Finding the Fourth Proportional to 6,403.59, 9,549.52 and 5,695.65

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Solution

The fourth proportional to 6,403.59, 9,549.52 and 5,695.65 is: 8,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.59 : 9,549.52 = 5,695.65 : x
  2. Step 2: Convert to fraction form
    6,403.59/9,549.52 = 5,695.65/x
  3. Step 3: Cross multiply
    6,403.59x = 9,549.52 × 5,695.65
  4. Step 4: Simplify right side
    6,403.59x = 54,390,709.35
  5. Step 5: Solve for x
    x = 54,390,709.35/6,403.59
  6. Step 6: Final answer
    x = 8,493.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.