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Finding the Fourth Proportional to 9,386.36, 14,101.92 and 5,493.48

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Solution

The fourth proportional to 9,386.36, 14,101.92 and 5,493.48 is: 8,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.36 : 14,101.92 = 5,493.48 : x
  2. Step 2: Convert to fraction form
    9,386.36/14,101.92 = 5,493.48/x
  3. Step 3: Cross multiply
    9,386.36x = 14,101.92 × 5,493.48
  4. Step 4: Simplify right side
    9,386.36x = 77,468,615.48
  5. Step 5: Solve for x
    x = 77,468,615.48/9,386.36
  6. Step 6: Final answer
    x = 8,253.32

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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.