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Finding the Fourth Proportional to 9,893.74, 13,653.37 and 5,417.78

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Solution

The fourth proportional to 9,893.74, 13,653.37 and 5,417.78 is: 7,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.74 : 13,653.37 = 5,417.78 : x
  2. Step 2: Convert to fraction form
    9,893.74/13,653.37 = 5,417.78/x
  3. Step 3: Cross multiply
    9,893.74x = 13,653.37 × 5,417.78
  4. Step 4: Simplify right side
    9,893.74x = 73,970,954.92
  5. Step 5: Solve for x
    x = 73,970,954.92/9,893.74
  6. Step 6: Final answer
    x = 7,476.54

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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.