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Finding the Fourth Proportional to 6,146.41, 9,219.61 and 1,529.41

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Solution

The fourth proportional to 6,146.41, 9,219.61 and 1,529.41 is: 2,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.41 : 9,219.61 = 1,529.41 : x
  2. Step 2: Convert to fraction form
    6,146.41/9,219.61 = 1,529.41/x
  3. Step 3: Cross multiply
    6,146.41x = 9,219.61 × 1,529.41
  4. Step 4: Simplify right side
    6,146.41x = 14,100,559.91
  5. Step 5: Solve for x
    x = 14,100,559.91/6,146.41
  6. Step 6: Final answer
    x = 2,294.11

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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.