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Finding the Fourth Proportional to 9,759.90, 14,648.07 and 4,217.45

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Solution

The fourth proportional to 9,759.90, 14,648.07 and 4,217.45 is: 6,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.90 : 14,648.07 = 4,217.45 : x
  2. Step 2: Convert to fraction form
    9,759.90/14,648.07 = 4,217.45/x
  3. Step 3: Cross multiply
    9,759.90x = 14,648.07 × 4,217.45
  4. Step 4: Simplify right side
    9,759.90x = 61,777,502.82
  5. Step 5: Solve for x
    x = 61,777,502.82/9,759.90
  6. Step 6: Final answer
    x = 6,329.73

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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.