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Finding the Fourth Proportional to 7,206.41, 10,737.98 and 6,420.38

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Solution

The fourth proportional to 7,206.41, 10,737.98 and 6,420.38 is: 9,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.41 : 10,737.98 = 6,420.38 : x
  2. Step 2: Convert to fraction form
    7,206.41/10,737.98 = 6,420.38/x
  3. Step 3: Cross multiply
    7,206.41x = 10,737.98 × 6,420.38
  4. Step 4: Simplify right side
    7,206.41x = 68,941,850.32
  5. Step 5: Solve for x
    x = 68,941,850.32/7,206.41
  6. Step 6: Final answer
    x = 9,566.74

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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.