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Finding the Fourth Proportional to 9,172.24, 13,758.36 and 3,978

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Solution

The fourth proportional to 9,172.24, 13,758.36 and 3,978 is: 5,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.24 : 13,758.36 = 3,978 : x
  2. Step 2: Convert to fraction form
    9,172.24/13,758.36 = 3,978/x
  3. Step 3: Cross multiply
    9,172.24x = 13,758.36 × 3,978
  4. Step 4: Simplify right side
    9,172.24x = 54,730,756.08
  5. Step 5: Solve for x
    x = 54,730,756.08/9,172.24
  6. Step 6: Final answer
    x = 5,967.00

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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.