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Finding the Fourth Proportional to 9,618.40, 13,274.85 and 6,964.84

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Solution

The fourth proportional to 9,618.40, 13,274.85 and 6,964.84 is: 9,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.40 : 13,274.85 = 6,964.84 : x
  2. Step 2: Convert to fraction form
    9,618.40/13,274.85 = 6,964.84/x
  3. Step 3: Cross multiply
    9,618.40x = 13,274.85 × 6,964.84
  4. Step 4: Simplify right side
    9,618.40x = 92,457,206.27
  5. Step 5: Solve for x
    x = 92,457,206.27/9,618.40
  6. Step 6: Final answer
    x = 9,612.53

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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.