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Finding the Fourth Proportional to 9,807.38, 13,515.28 and 6,264.44

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Solution

The fourth proportional to 9,807.38, 13,515.28 and 6,264.44 is: 8,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.38 : 13,515.28 = 6,264.44 : x
  2. Step 2: Convert to fraction form
    9,807.38/13,515.28 = 6,264.44/x
  3. Step 3: Cross multiply
    9,807.38x = 13,515.28 × 6,264.44
  4. Step 4: Simplify right side
    9,807.38x = 84,665,577.41
  5. Step 5: Solve for x
    x = 84,665,577.41/9,807.38
  6. Step 6: Final answer
    x = 8,632.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.