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Finding the Fourth Proportional to 9,778.62, 14,667.94 and 3,537.47

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Solution

The fourth proportional to 9,778.62, 14,667.94 and 3,537.47 is: 5,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.62 : 14,667.94 = 3,537.47 : x
  2. Step 2: Convert to fraction form
    9,778.62/14,667.94 = 3,537.47/x
  3. Step 3: Cross multiply
    9,778.62x = 14,667.94 × 3,537.47
  4. Step 4: Simplify right side
    9,778.62x = 51,887,418.91
  5. Step 5: Solve for x
    x = 51,887,418.91/9,778.62
  6. Step 6: Final answer
    x = 5,306.21

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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.