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Finding the Fourth Proportional to 9,847.65, 14,759.17 and 6,328.29

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Solution

The fourth proportional to 9,847.65, 14,759.17 and 6,328.29 is: 9,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.65 : 14,759.17 = 6,328.29 : x
  2. Step 2: Convert to fraction form
    9,847.65/14,759.17 = 6,328.29/x
  3. Step 3: Cross multiply
    9,847.65x = 14,759.17 × 6,328.29
  4. Step 4: Simplify right side
    9,847.65x = 93,400,329.68
  5. Step 5: Solve for x
    x = 93,400,329.68/9,847.65
  6. Step 6: Final answer
    x = 9,484.53

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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.