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Finding the Fourth Proportional to 9,182.89, 13,774.34 and 5,887.81

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Solution

The fourth proportional to 9,182.89, 13,774.34 and 5,887.81 is: 8,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.89 : 13,774.34 = 5,887.81 : x
  2. Step 2: Convert to fraction form
    9,182.89/13,774.34 = 5,887.81/x
  3. Step 3: Cross multiply
    9,182.89x = 13,774.34 × 5,887.81
  4. Step 4: Simplify right side
    9,182.89x = 81,100,696.80
  5. Step 5: Solve for x
    x = 81,100,696.80/9,182.89
  6. Step 6: Final answer
    x = 8,831.72

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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.