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Finding the Fourth Proportional to 6,403.44, 9,590.64 and 3,436.71

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Solution

The fourth proportional to 6,403.44, 9,590.64 and 3,436.71 is: 5,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.44 : 9,590.64 = 3,436.71 : x
  2. Step 2: Convert to fraction form
    6,403.44/9,590.64 = 3,436.71/x
  3. Step 3: Cross multiply
    6,403.44x = 9,590.64 × 3,436.71
  4. Step 4: Simplify right side
    6,403.44x = 32,960,248.39
  5. Step 5: Solve for x
    x = 32,960,248.39/6,403.44
  6. Step 6: Final answer
    x = 5,147.27

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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.