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Finding the Fourth Proportional to 6,920.37, 10,330.71 and 6,428.30

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Solution

The fourth proportional to 6,920.37, 10,330.71 and 6,428.30 is: 9,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.37 : 10,330.71 = 6,428.30 : x
  2. Step 2: Convert to fraction form
    6,920.37/10,330.71 = 6,428.30/x
  3. Step 3: Cross multiply
    6,920.37x = 10,330.71 × 6,428.30
  4. Step 4: Simplify right side
    6,920.37x = 66,408,827.33
  5. Step 5: Solve for x
    x = 66,408,827.33/6,920.37
  6. Step 6: Final answer
    x = 9,596.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.