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Finding the Fourth Proportional to 9,174.78, 13,762.17 and 3,980.25

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Solution

The fourth proportional to 9,174.78, 13,762.17 and 3,980.25 is: 5,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.78 : 13,762.17 = 3,980.25 : x
  2. Step 2: Convert to fraction form
    9,174.78/13,762.17 = 3,980.25/x
  3. Step 3: Cross multiply
    9,174.78x = 13,762.17 × 3,980.25
  4. Step 4: Simplify right side
    9,174.78x = 54,776,877.14
  5. Step 5: Solve for x
    x = 54,776,877.14/9,174.78
  6. Step 6: Final answer
    x = 5,970.38

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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.