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Finding the Fourth Proportional to 9,102.96, 13,666.56 and 6,151.32

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Solution

The fourth proportional to 9,102.96, 13,666.56 and 6,151.32 is: 9,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 13,666.56 = 6,151.32 : x
  2. Step 2: Convert to fraction form
    9,102.96/13,666.56 = 6,151.32/x
  3. Step 3: Cross multiply
    9,102.96x = 13,666.56 × 6,151.32
  4. Step 4: Simplify right side
    9,102.96x = 84,067,383.86
  5. Step 5: Solve for x
    x = 84,067,383.86/9,102.96
  6. Step 6: Final answer
    x = 9,235.17

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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.