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Finding the Fourth Proportional to 9,635.87, 13,291.96 and 5,656.22

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Solution

The fourth proportional to 9,635.87, 13,291.96 and 5,656.22 is: 7,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.87 : 13,291.96 = 5,656.22 : x
  2. Step 2: Convert to fraction form
    9,635.87/13,291.96 = 5,656.22/x
  3. Step 3: Cross multiply
    9,635.87x = 13,291.96 × 5,656.22
  4. Step 4: Simplify right side
    9,635.87x = 75,182,249.99
  5. Step 5: Solve for x
    x = 75,182,249.99/9,635.87
  6. Step 6: Final answer
    x = 7,802.33

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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.