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Finding the Fourth Proportional to 7,262.19, 9,967.61 and 6,957.83

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Solution

The fourth proportional to 7,262.19, 9,967.61 and 6,957.83 is: 9,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.19 : 9,967.61 = 6,957.83 : x
  2. Step 2: Convert to fraction form
    7,262.19/9,967.61 = 6,957.83/x
  3. Step 3: Cross multiply
    7,262.19x = 9,967.61 × 6,957.83
  4. Step 4: Simplify right side
    7,262.19x = 69,352,978.20
  5. Step 5: Solve for x
    x = 69,352,978.20/7,262.19
  6. Step 6: Final answer
    x = 9,549.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.