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Finding the Fourth Proportional to 6,264.29, 9,393.39 and 2,369.00

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Solution

The fourth proportional to 6,264.29, 9,393.39 and 2,369.00 is: 3,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.29 : 9,393.39 = 2,369.00 : x
  2. Step 2: Convert to fraction form
    6,264.29/9,393.39 = 2,369.00/x
  3. Step 3: Cross multiply
    6,264.29x = 9,393.39 × 2,369.00
  4. Step 4: Simplify right side
    6,264.29x = 22,252,893.94
  5. Step 5: Solve for x
    x = 22,252,893.94/6,264.29
  6. Step 6: Final answer
    x = 3,552.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.