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Finding the Fourth Proportional to 6,146, 9,204.36 and 3,541.04

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Solution

The fourth proportional to 6,146, 9,204.36 and 3,541.04 is: 5,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 9,204.36 = 3,541.04 : x
  2. Step 2: Convert to fraction form
    6,146/9,204.36 = 3,541.04/x
  3. Step 3: Cross multiply
    6,146x = 9,204.36 × 3,541.04
  4. Step 4: Simplify right side
    6,146x = 32,593,006.93
  5. Step 5: Solve for x
    x = 32,593,006.93/6,146
  6. Step 6: Final answer
    x = 5,303.13

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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.