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Finding the Fourth Proportional to 9,188.78, 13,774.83 and 3,341.25

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Solution

The fourth proportional to 9,188.78, 13,774.83 and 3,341.25 is: 5,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.78 : 13,774.83 = 3,341.25 : x
  2. Step 2: Convert to fraction form
    9,188.78/13,774.83 = 3,341.25/x
  3. Step 3: Cross multiply
    9,188.78x = 13,774.83 × 3,341.25
  4. Step 4: Simplify right side
    9,188.78x = 46,025,138.21
  5. Step 5: Solve for x
    x = 46,025,138.21/9,188.78
  6. Step 6: Final answer
    x = 5,008.84

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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.