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Finding the Fourth Proportional to 9,614.59, 13,268.60 and 5,422.75

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Solution

The fourth proportional to 9,614.59, 13,268.60 and 5,422.75 is: 7,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.59 : 13,268.60 = 5,422.75 : x
  2. Step 2: Convert to fraction form
    9,614.59/13,268.60 = 5,422.75/x
  3. Step 3: Cross multiply
    9,614.59x = 13,268.60 × 5,422.75
  4. Step 4: Simplify right side
    9,614.59x = 71,952,300.65
  5. Step 5: Solve for x
    x = 71,952,300.65/9,614.59
  6. Step 6: Final answer
    x = 7,483.66

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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.