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Finding the Fourth Proportional to 6,403.08, 9,593.82 and 4,057.32

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Solution

The fourth proportional to 6,403.08, 9,593.82 and 4,057.32 is: 6,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.08 : 9,593.82 = 4,057.32 : x
  2. Step 2: Convert to fraction form
    6,403.08/9,593.82 = 4,057.32/x
  3. Step 3: Cross multiply
    6,403.08x = 9,593.82 × 4,057.32
  4. Step 4: Simplify right side
    6,403.08x = 38,925,197.76
  5. Step 5: Solve for x
    x = 38,925,197.76/6,403.08
  6. Step 6: Final answer
    x = 6,079.14

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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.