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Finding the Fourth Proportional to 6,532.54, 9,014.78 and 3,548.34

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Solution

The fourth proportional to 6,532.54, 9,014.78 and 3,548.34 is: 4,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.54 : 9,014.78 = 3,548.34 : x
  2. Step 2: Convert to fraction form
    6,532.54/9,014.78 = 3,548.34/x
  3. Step 3: Cross multiply
    6,532.54x = 9,014.78 × 3,548.34
  4. Step 4: Simplify right side
    6,532.54x = 31,987,513.34
  5. Step 5: Solve for x
    x = 31,987,513.34/6,532.54
  6. Step 6: Final answer
    x = 4,896.64

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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.