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Finding the Fourth Proportional to 9,775.42, 14,665.17 and 4,229.55

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Solution

The fourth proportional to 9,775.42, 14,665.17 and 4,229.55 is: 6,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.42 : 14,665.17 = 4,229.55 : x
  2. Step 2: Convert to fraction form
    9,775.42/14,665.17 = 4,229.55/x
  3. Step 3: Cross multiply
    9,775.42x = 14,665.17 × 4,229.55
  4. Step 4: Simplify right side
    9,775.42x = 62,027,043.68
  5. Step 5: Solve for x
    x = 62,027,043.68/9,775.42
  6. Step 6: Final answer
    x = 6,345.21

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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.