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Finding the Fourth Proportional to 6,803.19, 9,388.11 and 3,970.71

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Solution

The fourth proportional to 6,803.19, 9,388.11 and 3,970.71 is: 5,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.19 : 9,388.11 = 3,970.71 : x
  2. Step 2: Convert to fraction form
    6,803.19/9,388.11 = 3,970.71/x
  3. Step 3: Cross multiply
    6,803.19x = 9,388.11 × 3,970.71
  4. Step 4: Simplify right side
    6,803.19x = 37,277,462.26
  5. Step 5: Solve for x
    x = 37,277,462.26/6,803.19
  6. Step 6: Final answer
    x = 5,479.41

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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.