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Finding the Fourth Proportional to 6,480.80, 9,706.80 and 5,328.80

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Solution

The fourth proportional to 6,480.80, 9,706.80 and 5,328.80 is: 7,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.80 : 9,706.80 = 5,328.80 : x
  2. Step 2: Convert to fraction form
    6,480.80/9,706.80 = 5,328.80/x
  3. Step 3: Cross multiply
    6,480.80x = 9,706.80 × 5,328.80
  4. Step 4: Simplify right side
    6,480.80x = 51,725,595.84
  5. Step 5: Solve for x
    x = 51,725,595.84/6,480.80
  6. Step 6: Final answer
    x = 7,981.36

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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.