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Finding the Fourth Proportional to 6,168.51, 9,253.68 and 1,785.42

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Solution

The fourth proportional to 6,168.51, 9,253.68 and 1,785.42 is: 2,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.51 : 9,253.68 = 1,785.42 : x
  2. Step 2: Convert to fraction form
    6,168.51/9,253.68 = 1,785.42/x
  3. Step 3: Cross multiply
    6,168.51x = 9,253.68 × 1,785.42
  4. Step 4: Simplify right side
    6,168.51x = 16,521,705.35
  5. Step 5: Solve for x
    x = 16,521,705.35/6,168.51
  6. Step 6: Final answer
    x = 2,678.39

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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.