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Finding the Fourth Proportional to 9,262.68, 13,895.12 and 5,800.20

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Solution

The fourth proportional to 9,262.68, 13,895.12 and 5,800.20 is: 8,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.68 : 13,895.12 = 5,800.20 : x
  2. Step 2: Convert to fraction form
    9,262.68/13,895.12 = 5,800.20/x
  3. Step 3: Cross multiply
    9,262.68x = 13,895.12 × 5,800.20
  4. Step 4: Simplify right side
    9,262.68x = 80,594,475.02
  5. Step 5: Solve for x
    x = 80,594,475.02/9,262.68
  6. Step 6: Final answer
    x = 8,700.99

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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.