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Finding the Fourth Proportional to 9,189.63, 13,759.83 and 7,565.85

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Solution

The fourth proportional to 9,189.63, 13,759.83 and 7,565.85 is: 11,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.63 : 13,759.83 = 7,565.85 : x
  2. Step 2: Convert to fraction form
    9,189.63/13,759.83 = 7,565.85/x
  3. Step 3: Cross multiply
    9,189.63x = 13,759.83 × 7,565.85
  4. Step 4: Simplify right side
    9,189.63x = 104,104,809.81
  5. Step 5: Solve for x
    x = 104,104,809.81/9,189.63
  6. Step 6: Final answer
    x = 11,328.51

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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.