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Finding the Fourth Proportional to 9,759.69, 14,647.73 and 4,217.19

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Solution

The fourth proportional to 9,759.69, 14,647.73 and 4,217.19 is: 6,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.69 : 14,647.73 = 4,217.19 : x
  2. Step 2: Convert to fraction form
    9,759.69/14,647.73 = 4,217.19/x
  3. Step 3: Cross multiply
    9,759.69x = 14,647.73 × 4,217.19
  4. Step 4: Simplify right side
    9,759.69x = 61,772,239.39
  5. Step 5: Solve for x
    x = 61,772,239.39/9,759.69
  6. Step 6: Final answer
    x = 6,329.32

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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.