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Finding the Fourth Proportional to 9,594.26, 13,241.29 and 5,402.50

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Solution

The fourth proportional to 9,594.26, 13,241.29 and 5,402.50 is: 7,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.26 : 13,241.29 = 5,402.50 : x
  2. Step 2: Convert to fraction form
    9,594.26/13,241.29 = 5,402.50/x
  3. Step 3: Cross multiply
    9,594.26x = 13,241.29 × 5,402.50
  4. Step 4: Simplify right side
    9,594.26x = 71,536,069.23
  5. Step 5: Solve for x
    x = 71,536,069.23/9,594.26
  6. Step 6: Final answer
    x = 7,456.13

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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.