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Finding the Fourth Proportional to 9,259.52, 13,896.29 and 7,174.44

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Solution

The fourth proportional to 9,259.52, 13,896.29 and 7,174.44 is: 10,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.52 : 13,896.29 = 7,174.44 : x
  2. Step 2: Convert to fraction form
    9,259.52/13,896.29 = 7,174.44/x
  3. Step 3: Cross multiply
    9,259.52x = 13,896.29 × 7,174.44
  4. Step 4: Simplify right side
    9,259.52x = 99,698,116.76
  5. Step 5: Solve for x
    x = 99,698,116.76/9,259.52
  6. Step 6: Final answer
    x = 10,767.10

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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.