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Finding the Fourth Proportional to 9,102.72, 13,656.16 and 3,910.08

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Solution

The fourth proportional to 9,102.72, 13,656.16 and 3,910.08 is: 5,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.72 : 13,656.16 = 3,910.08 : x
  2. Step 2: Convert to fraction form
    9,102.72/13,656.16 = 3,910.08/x
  3. Step 3: Cross multiply
    9,102.72x = 13,656.16 × 3,910.08
  4. Step 4: Simplify right side
    9,102.72x = 53,396,678.09
  5. Step 5: Solve for x
    x = 53,396,678.09/9,102.72
  6. Step 6: Final answer
    x = 5,866.01

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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.