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Finding the Fourth Proportional to 7,206.29, 10,737.79 and 6,420.25

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Solution

The fourth proportional to 7,206.29, 10,737.79 and 6,420.25 is: 9,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.29 : 10,737.79 = 6,420.25 : x
  2. Step 2: Convert to fraction form
    7,206.29/10,737.79 = 6,420.25/x
  3. Step 3: Cross multiply
    7,206.29x = 10,737.79 × 6,420.25
  4. Step 4: Simplify right side
    7,206.29x = 68,939,210.46
  5. Step 5: Solve for x
    x = 68,939,210.46/7,206.29
  6. Step 6: Final answer
    x = 9,566.54

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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.