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Finding the Fourth Proportional to 9,588.74, 13,232.44 and 5,396.98

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Solution

The fourth proportional to 9,588.74, 13,232.44 and 5,396.98 is: 7,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.74 : 13,232.44 = 5,396.98 : x
  2. Step 2: Convert to fraction form
    9,588.74/13,232.44 = 5,396.98/x
  3. Step 3: Cross multiply
    9,588.74x = 13,232.44 × 5,396.98
  4. Step 4: Simplify right side
    9,588.74x = 71,415,214.03
  5. Step 5: Solve for x
    x = 71,415,214.03/9,588.74
  6. Step 6: Final answer
    x = 7,447.82

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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.