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Finding the Fourth Proportional to 6,146.04, 9,217.09 and 1,985.16

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Solution

The fourth proportional to 6,146.04, 9,217.09 and 1,985.16 is: 2,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.04 : 9,217.09 = 1,985.16 : x
  2. Step 2: Convert to fraction form
    6,146.04/9,217.09 = 1,985.16/x
  3. Step 3: Cross multiply
    6,146.04x = 9,217.09 × 1,985.16
  4. Step 4: Simplify right side
    6,146.04x = 18,297,398.38
  5. Step 5: Solve for x
    x = 18,297,398.38/6,146.04
  6. Step 6: Final answer
    x = 2,977.10

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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.