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Finding the Fourth Proportional to 7,069.16, 9,722.98 and 5,668.84

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Solution

The fourth proportional to 7,069.16, 9,722.98 and 5,668.84 is: 7,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.16 : 9,722.98 = 5,668.84 : x
  2. Step 2: Convert to fraction form
    7,069.16/9,722.98 = 5,668.84/x
  3. Step 3: Cross multiply
    7,069.16x = 9,722.98 × 5,668.84
  4. Step 4: Simplify right side
    7,069.16x = 55,118,017.94
  5. Step 5: Solve for x
    x = 55,118,017.94/7,069.16
  6. Step 6: Final answer
    x = 7,796.97

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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.