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Finding the Fourth Proportional to 9,087.26, 13,602.80 and 7,758.86

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Solution

The fourth proportional to 9,087.26, 13,602.80 and 7,758.86 is: 11,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.26 : 13,602.80 = 7,758.86 : x
  2. Step 2: Convert to fraction form
    9,087.26/13,602.80 = 7,758.86/x
  3. Step 3: Cross multiply
    9,087.26x = 13,602.80 × 7,758.86
  4. Step 4: Simplify right side
    9,087.26x = 105,542,172.19
  5. Step 5: Solve for x
    x = 105,542,172.19/9,087.26
  6. Step 6: Final answer
    x = 11,614.31

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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.