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Finding the Fourth Proportional to 9,439.96, 14,159.02 and 2,866.20

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Solution

The fourth proportional to 9,439.96, 14,159.02 and 2,866.20 is: 4,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.96 : 14,159.02 = 2,866.20 : x
  2. Step 2: Convert to fraction form
    9,439.96/14,159.02 = 2,866.20/x
  3. Step 3: Cross multiply
    9,439.96x = 14,159.02 × 2,866.20
  4. Step 4: Simplify right side
    9,439.96x = 40,582,583.12
  5. Step 5: Solve for x
    x = 40,582,583.12/9,439.96
  6. Step 6: Final answer
    x = 4,299.02

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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.