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Finding the Fourth Proportional to 9,189.22, 13,776.12 and 7,624.84

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Solution

The fourth proportional to 9,189.22, 13,776.12 and 7,624.84 is: 11,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.22 : 13,776.12 = 7,624.84 : x
  2. Step 2: Convert to fraction form
    9,189.22/13,776.12 = 7,624.84/x
  3. Step 3: Cross multiply
    9,189.22x = 13,776.12 × 7,624.84
  4. Step 4: Simplify right side
    9,189.22x = 105,040,710.82
  5. Step 5: Solve for x
    x = 105,040,710.82/9,189.22
  6. Step 6: Final answer
    x = 11,430.86

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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.