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Finding the Fourth Proportional to 35,693.44, 53,542.79 and 9,398

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Solution

The fourth proportional to 35,693.44, 53,542.79 and 9,398 is: 14,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.44 : 53,542.79 = 9,398 : x
  2. Step 2: Convert to fraction form
    35,693.44/53,542.79 = 9,398/x
  3. Step 3: Cross multiply
    35,693.44x = 53,542.79 × 9,398
  4. Step 4: Simplify right side
    35,693.44x = 503,195,140.42
  5. Step 5: Solve for x
    x = 503,195,140.42/35,693.44
  6. Step 6: Final answer
    x = 14,097.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.