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Finding the Fourth Proportional to 9,802.26, 13,517.90 and 7,560.59

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Solution

The fourth proportional to 9,802.26, 13,517.90 and 7,560.59 is: 10,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.26 : 13,517.90 = 7,560.59 : x
  2. Step 2: Convert to fraction form
    9,802.26/13,517.90 = 7,560.59/x
  3. Step 3: Cross multiply
    9,802.26x = 13,517.90 × 7,560.59
  4. Step 4: Simplify right side
    9,802.26x = 102,203,194.17
  5. Step 5: Solve for x
    x = 102,203,194.17/9,802.26
  6. Step 6: Final answer
    x = 10,426.49

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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.