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Finding the Fourth Proportional to 6,328.80, 9,480.49 and 5,812.08

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Solution

The fourth proportional to 6,328.80, 9,480.49 and 5,812.08 is: 8,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.80 : 9,480.49 = 5,812.08 : x
  2. Step 2: Convert to fraction form
    6,328.80/9,480.49 = 5,812.08/x
  3. Step 3: Cross multiply
    6,328.80x = 9,480.49 × 5,812.08
  4. Step 4: Simplify right side
    6,328.80x = 55,101,366.32
  5. Step 5: Solve for x
    x = 55,101,366.32/6,328.80
  6. Step 6: Final answer
    x = 8,706.45

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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.