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Finding the Fourth Proportional to 9,382.98, 12,935.82 and 6,019.95

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Solution

The fourth proportional to 9,382.98, 12,935.82 and 6,019.95 is: 8,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.98 : 12,935.82 = 6,019.95 : x
  2. Step 2: Convert to fraction form
    9,382.98/12,935.82 = 6,019.95/x
  3. Step 3: Cross multiply
    9,382.98x = 12,935.82 × 6,019.95
  4. Step 4: Simplify right side
    9,382.98x = 77,872,989.61
  5. Step 5: Solve for x
    x = 77,872,989.61/9,382.98
  6. Step 6: Final answer
    x = 8,299.39

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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.