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Finding the Fourth Proportional to 6,196.80, 9,280.80 and 6,052.80

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Solution

The fourth proportional to 6,196.80, 9,280.80 and 6,052.80 is: 9,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.80 : 9,280.80 = 6,052.80 : x
  2. Step 2: Convert to fraction form
    6,196.80/9,280.80 = 6,052.80/x
  3. Step 3: Cross multiply
    6,196.80x = 9,280.80 × 6,052.80
  4. Step 4: Simplify right side
    6,196.80x = 56,174,826.24
  5. Step 5: Solve for x
    x = 56,174,826.24/6,196.80
  6. Step 6: Final answer
    x = 9,065.13

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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.