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Finding the Fourth Proportional to 6,964.19, 9,610.88 and 3,980.25

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Solution

The fourth proportional to 6,964.19, 9,610.88 and 3,980.25 is: 5,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.19 : 9,610.88 = 3,980.25 : x
  2. Step 2: Convert to fraction form
    6,964.19/9,610.88 = 3,980.25/x
  3. Step 3: Cross multiply
    6,964.19x = 9,610.88 × 3,980.25
  4. Step 4: Simplify right side
    6,964.19x = 38,253,685.22
  5. Step 5: Solve for x
    x = 38,253,685.22/6,964.19
  6. Step 6: Final answer
    x = 5,492.92

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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.