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Finding the Fourth Proportional to 6,807.32, 9,395.71 and 4,156.95

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Solution

The fourth proportional to 6,807.32, 9,395.71 and 4,156.95 is: 5,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.32 : 9,395.71 = 4,156.95 : x
  2. Step 2: Convert to fraction form
    6,807.32/9,395.71 = 4,156.95/x
  3. Step 3: Cross multiply
    6,807.32x = 9,395.71 × 4,156.95
  4. Step 4: Simplify right side
    6,807.32x = 39,057,496.68
  5. Step 5: Solve for x
    x = 39,057,496.68/6,807.32
  6. Step 6: Final answer
    x = 5,737.58

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