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Finding the Fourth Proportional to 9,190.22, 13,777.62 and 7,625.84

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Solution

The fourth proportional to 9,190.22, 13,777.62 and 7,625.84 is: 11,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.22 : 13,777.62 = 7,625.84 : x
  2. Step 2: Convert to fraction form
    9,190.22/13,777.62 = 7,625.84/x
  3. Step 3: Cross multiply
    9,190.22x = 13,777.62 × 7,625.84
  4. Step 4: Simplify right side
    9,190.22x = 105,065,925.70
  5. Step 5: Solve for x
    x = 105,065,925.70/9,190.22
  6. Step 6: Final answer
    x = 11,432.36

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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.