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Finding the Fourth Proportional to 9,614.85, 13,266.21 and 5,837.91

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Solution

The fourth proportional to 9,614.85, 13,266.21 and 5,837.91 is: 8,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.85 : 13,266.21 = 5,837.91 : x
  2. Step 2: Convert to fraction form
    9,614.85/13,266.21 = 5,837.91/x
  3. Step 3: Cross multiply
    9,614.85x = 13,266.21 × 5,837.91
  4. Step 4: Simplify right side
    9,614.85x = 77,446,940.02
  5. Step 5: Solve for x
    x = 77,446,940.02/9,614.85
  6. Step 6: Final answer
    x = 8,054.93

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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.