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Finding the Fourth Proportional to 9,188.28, 13,774.22 and 3,340.77

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Solution

The fourth proportional to 9,188.28, 13,774.22 and 3,340.77 is: 5,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.28 : 13,774.22 = 3,340.77 : x
  2. Step 2: Convert to fraction form
    9,188.28/13,774.22 = 3,340.77/x
  3. Step 3: Cross multiply
    9,188.28x = 13,774.22 × 3,340.77
  4. Step 4: Simplify right side
    9,188.28x = 46,016,484.25
  5. Step 5: Solve for x
    x = 46,016,484.25/9,188.28
  6. Step 6: Final answer
    x = 5,008.17

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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.