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Finding the Fourth Proportional to 9,202.11, 13,798.13 and 2,875.25

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Solution

The fourth proportional to 9,202.11, 13,798.13 and 2,875.25 is: 4,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.11 : 13,798.13 = 2,875.25 : x
  2. Step 2: Convert to fraction form
    9,202.11/13,798.13 = 2,875.25/x
  3. Step 3: Cross multiply
    9,202.11x = 13,798.13 × 2,875.25
  4. Step 4: Simplify right side
    9,202.11x = 39,673,073.28
  5. Step 5: Solve for x
    x = 39,673,073.28/9,202.11
  6. Step 6: Final answer
    x = 4,311.30

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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.