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Finding the Fourth Proportional to 6,203.70, 9,298.32 and 2,864.94

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Solution

The fourth proportional to 6,203.70, 9,298.32 and 2,864.94 is: 4,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.70 : 9,298.32 = 2,864.94 : x
  2. Step 2: Convert to fraction form
    6,203.70/9,298.32 = 2,864.94/x
  3. Step 3: Cross multiply
    6,203.70x = 9,298.32 × 2,864.94
  4. Step 4: Simplify right side
    6,203.70x = 26,639,128.90
  5. Step 5: Solve for x
    x = 26,639,128.90/6,203.70
  6. Step 6: Final answer
    x = 4,294.07

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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.