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Finding the Fourth Proportional to 9,775.17, 14,661.03 and 4,227.03

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Solution

The fourth proportional to 9,775.17, 14,661.03 and 4,227.03 is: 6,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.17 : 14,661.03 = 4,227.03 : x
  2. Step 2: Convert to fraction form
    9,775.17/14,661.03 = 4,227.03/x
  3. Step 3: Cross multiply
    9,775.17x = 14,661.03 × 4,227.03
  4. Step 4: Simplify right side
    9,775.17x = 61,972,613.64
  5. Step 5: Solve for x
    x = 61,972,613.64/9,775.17
  6. Step 6: Final answer
    x = 6,339.80

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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.