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Finding the Fourth Proportional to 9,188.61, 13,771.97 and 5,284.81

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Solution

The fourth proportional to 9,188.61, 13,771.97 and 5,284.81 is: 7,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.61 : 13,771.97 = 5,284.81 : x
  2. Step 2: Convert to fraction form
    9,188.61/13,771.97 = 5,284.81/x
  3. Step 3: Cross multiply
    9,188.61x = 13,771.97 × 5,284.81
  4. Step 4: Simplify right side
    9,188.61x = 72,782,244.78
  5. Step 5: Solve for x
    x = 72,782,244.78/9,188.61
  6. Step 6: Final answer
    x = 7,920.92

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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.