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Finding the Fourth Proportional to 9,188.61, 13,771.98 and 5,284.82

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Solution

The fourth proportional to 9,188.61, 13,771.98 and 5,284.82 is: 7,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.61 : 13,771.98 = 5,284.82 : x
  2. Step 2: Convert to fraction form
    9,188.61/13,771.98 = 5,284.82/x
  3. Step 3: Cross multiply
    9,188.61x = 13,771.98 × 5,284.82
  4. Step 4: Simplify right side
    9,188.61x = 72,782,340.06
  5. Step 5: Solve for x
    x = 72,782,340.06/9,188.61
  6. Step 6: Final answer
    x = 7,920.93

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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.