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Finding the Fourth Proportional to 6,772.34, 9,345.65 and 3,788.19

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Solution

The fourth proportional to 6,772.34, 9,345.65 and 3,788.19 is: 5,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.34 : 9,345.65 = 3,788.19 : x
  2. Step 2: Convert to fraction form
    6,772.34/9,345.65 = 3,788.19/x
  3. Step 3: Cross multiply
    6,772.34x = 9,345.65 × 3,788.19
  4. Step 4: Simplify right side
    6,772.34x = 35,403,078.93
  5. Step 5: Solve for x
    x = 35,403,078.93/6,772.34
  6. Step 6: Final answer
    x = 5,227.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.