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Finding the Fourth Proportional to 9,868.81, 14,801.02 and 2,847.26

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Solution

The fourth proportional to 9,868.81, 14,801.02 and 2,847.26 is: 4,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.81 : 14,801.02 = 2,847.26 : x
  2. Step 2: Convert to fraction form
    9,868.81/14,801.02 = 2,847.26/x
  3. Step 3: Cross multiply
    9,868.81x = 14,801.02 × 2,847.26
  4. Step 4: Simplify right side
    9,868.81x = 42,142,352.21
  5. Step 5: Solve for x
    x = 42,142,352.21/9,868.81
  6. Step 6: Final answer
    x = 4,270.26

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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.