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Finding the Fourth Proportional to 9,493.97, 13,101.95 and 5,302.13

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Solution

The fourth proportional to 9,493.97, 13,101.95 and 5,302.13 is: 7,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.97 : 13,101.95 = 5,302.13 : x
  2. Step 2: Convert to fraction form
    9,493.97/13,101.95 = 5,302.13/x
  3. Step 3: Cross multiply
    9,493.97x = 13,101.95 × 5,302.13
  4. Step 4: Simplify right side
    9,493.97x = 69,468,189.90
  5. Step 5: Solve for x
    x = 69,468,189.90/9,493.97
  6. Step 6: Final answer
    x = 7,317.09

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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.