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Finding the Fourth Proportional to 6,053.42, 9,096.33 and 5,291.48

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Solution

The fourth proportional to 6,053.42, 9,096.33 and 5,291.48 is: 7,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.42 : 9,096.33 = 5,291.48 : x
  2. Step 2: Convert to fraction form
    6,053.42/9,096.33 = 5,291.48/x
  3. Step 3: Cross multiply
    6,053.42x = 9,096.33 × 5,291.48
  4. Step 4: Simplify right side
    6,053.42x = 48,133,048.27
  5. Step 5: Solve for x
    x = 48,133,048.27/6,053.42
  6. Step 6: Final answer
    x = 7,951.38

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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.