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Finding the Fourth Proportional to 6,328.29, 9,448.08 and 5,706.21

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Solution

The fourth proportional to 6,328.29, 9,448.08 and 5,706.21 is: 8,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.29 : 9,448.08 = 5,706.21 : x
  2. Step 2: Convert to fraction form
    6,328.29/9,448.08 = 5,706.21/x
  3. Step 3: Cross multiply
    6,328.29x = 9,448.08 × 5,706.21
  4. Step 4: Simplify right side
    6,328.29x = 53,912,728.58
  5. Step 5: Solve for x
    x = 53,912,728.58/6,328.29
  6. Step 6: Final answer
    x = 8,519.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.