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Finding the Fourth Proportional to 10,311.74, 14,208.22 and 6,948.71

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Solution

The fourth proportional to 10,311.74, 14,208.22 and 6,948.71 is: 9,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.74 : 14,208.22 = 6,948.71 : x
  2. Step 2: Convert to fraction form
    10,311.74/14,208.22 = 6,948.71/x
  3. Step 3: Cross multiply
    10,311.74x = 14,208.22 × 6,948.71
  4. Step 4: Simplify right side
    10,311.74x = 98,728,871.05
  5. Step 5: Solve for x
    x = 98,728,871.05/10,311.74
  6. Step 6: Final answer
    x = 9,574.41

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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.