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Finding the Fourth Proportional to 6,575.77, 9,844.35 and 3,448.36

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Solution

The fourth proportional to 6,575.77, 9,844.35 and 3,448.36 is: 5,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.77 : 9,844.35 = 3,448.36 : x
  2. Step 2: Convert to fraction form
    6,575.77/9,844.35 = 3,448.36/x
  3. Step 3: Cross multiply
    6,575.77x = 9,844.35 × 3,448.36
  4. Step 4: Simplify right side
    6,575.77x = 33,946,862.77
  5. Step 5: Solve for x
    x = 33,946,862.77/6,575.77
  6. Step 6: Final answer
    x = 5,162.42

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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.