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Finding the Fourth Proportional to 6,123.42, 9,170.54 and 3,345.94

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Solution

The fourth proportional to 6,123.42, 9,170.54 and 3,345.94 is: 5,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.42 : 9,170.54 = 3,345.94 : x
  2. Step 2: Convert to fraction form
    6,123.42/9,170.54 = 3,345.94/x
  3. Step 3: Cross multiply
    6,123.42x = 9,170.54 × 3,345.94
  4. Step 4: Simplify right side
    6,123.42x = 30,684,076.61
  5. Step 5: Solve for x
    x = 30,684,076.61/6,123.42
  6. Step 6: Final answer
    x = 5,010.94

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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.