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Finding the Fourth Proportional to 9,089.26, 13,605.80 and 7,760.86

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Solution

The fourth proportional to 9,089.26, 13,605.80 and 7,760.86 is: 11,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.26 : 13,605.80 = 7,760.86 : x
  2. Step 2: Convert to fraction form
    9,089.26/13,605.80 = 7,760.86/x
  3. Step 3: Cross multiply
    9,089.26x = 13,605.80 × 7,760.86
  4. Step 4: Simplify right side
    9,089.26x = 105,592,708.99
  5. Step 5: Solve for x
    x = 105,592,708.99/9,089.26
  6. Step 6: Final answer
    x = 11,617.31

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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.