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Finding the Fourth Proportional to 6,548.48, 9,040.14 and 4,463.54

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Solution

The fourth proportional to 6,548.48, 9,040.14 and 4,463.54 is: 6,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.48 : 9,040.14 = 4,463.54 : x
  2. Step 2: Convert to fraction form
    6,548.48/9,040.14 = 4,463.54/x
  3. Step 3: Cross multiply
    6,548.48x = 9,040.14 × 4,463.54
  4. Step 4: Simplify right side
    6,548.48x = 40,351,026.50
  5. Step 5: Solve for x
    x = 40,351,026.50/6,548.48
  6. Step 6: Final answer
    x = 6,161.89

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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.