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Finding the Fourth Proportional to 9,441.97, 13,030.72 and 5,193.87

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Solution

The fourth proportional to 9,441.97, 13,030.72 and 5,193.87 is: 7,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.97 : 13,030.72 = 5,193.87 : x
  2. Step 2: Convert to fraction form
    9,441.97/13,030.72 = 5,193.87/x
  3. Step 3: Cross multiply
    9,441.97x = 13,030.72 × 5,193.87
  4. Step 4: Simplify right side
    9,441.97x = 67,679,906.35
  5. Step 5: Solve for x
    x = 67,679,906.35/9,441.97
  6. Step 6: Final answer
    x = 7,167.99

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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.