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Finding the Fourth Proportional to 6,284.66, 9,426.97 and 1,902.11

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Solution

The fourth proportional to 6,284.66, 9,426.97 and 1,902.11 is: 2,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.66 : 9,426.97 = 1,902.11 : x
  2. Step 2: Convert to fraction form
    6,284.66/9,426.97 = 1,902.11/x
  3. Step 3: Cross multiply
    6,284.66x = 9,426.97 × 1,902.11
  4. Step 4: Simplify right side
    6,284.66x = 17,931,124.40
  5. Step 5: Solve for x
    x = 17,931,124.40/6,284.66
  6. Step 6: Final answer
    x = 2,853.16

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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.