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Finding the Fourth Proportional to 6,123.38, 9,185.09 and 1,506.38

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Solution

The fourth proportional to 6,123.38, 9,185.09 and 1,506.38 is: 2,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.38 : 9,185.09 = 1,506.38 : x
  2. Step 2: Convert to fraction form
    6,123.38/9,185.09 = 1,506.38/x
  3. Step 3: Cross multiply
    6,123.38x = 9,185.09 × 1,506.38
  4. Step 4: Simplify right side
    6,123.38x = 13,836,182.42
  5. Step 5: Solve for x
    x = 13,836,182.42/6,123.38
  6. Step 6: Final answer
    x = 2,259.57

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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.