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Finding the Fourth Proportional to 8,099.28, 12,130.02 and 6,235.60

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Solution

The fourth proportional to 8,099.28, 12,130.02 and 6,235.60 is: 9,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.28 : 12,130.02 = 6,235.60 : x
  2. Step 2: Convert to fraction form
    8,099.28/12,130.02 = 6,235.60/x
  3. Step 3: Cross multiply
    8,099.28x = 12,130.02 × 6,235.60
  4. Step 4: Simplify right side
    8,099.28x = 75,637,952.71
  5. Step 5: Solve for x
    x = 75,637,952.71/8,099.28
  6. Step 6: Final answer
    x = 9,338.85

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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.