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Finding the Fourth Proportional to 6,403.71, 9,605.55 and 2,505.39

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Solution

The fourth proportional to 6,403.71, 9,605.55 and 2,505.39 is: 3,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.71 : 9,605.55 = 2,505.39 : x
  2. Step 2: Convert to fraction form
    6,403.71/9,605.55 = 2,505.39/x
  3. Step 3: Cross multiply
    6,403.71x = 9,605.55 × 2,505.39
  4. Step 4: Simplify right side
    6,403.71x = 24,065,648.91
  5. Step 5: Solve for x
    x = 24,065,648.91/6,403.71
  6. Step 6: Final answer
    x = 3,758.08

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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.