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Finding the Fourth Proportional to 9,614.26, 13,266.93 and 5,634.82

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Solution

The fourth proportional to 9,614.26, 13,266.93 and 5,634.82 is: 7,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.26 : 13,266.93 = 5,634.82 : x
  2. Step 2: Convert to fraction form
    9,614.26/13,266.93 = 5,634.82/x
  3. Step 3: Cross multiply
    9,614.26x = 13,266.93 × 5,634.82
  4. Step 4: Simplify right side
    9,614.26x = 74,756,762.50
  5. Step 5: Solve for x
    x = 74,756,762.50/9,614.26
  6. Step 6: Final answer
    x = 7,775.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.