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Finding the Fourth Proportional to 6,411.30, 9,615.98 and 2,028.18

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Solution

The fourth proportional to 6,411.30, 9,615.98 and 2,028.18 is: 3,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.30 : 9,615.98 = 2,028.18 : x
  2. Step 2: Convert to fraction form
    6,411.30/9,615.98 = 2,028.18/x
  3. Step 3: Cross multiply
    6,411.30x = 9,615.98 × 2,028.18
  4. Step 4: Simplify right side
    6,411.30x = 19,502,979.45
  5. Step 5: Solve for x
    x = 19,502,979.45/6,411.30
  6. Step 6: Final answer
    x = 3,041.97

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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.