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Finding the Fourth Proportional to 6,964.60, 9,615.90 and 4,869.40

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Solution

The fourth proportional to 6,964.60, 9,615.90 and 4,869.40 is: 6,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.60 : 9,615.90 = 4,869.40 : x
  2. Step 2: Convert to fraction form
    6,964.60/9,615.90 = 4,869.40/x
  3. Step 3: Cross multiply
    6,964.60x = 9,615.90 × 4,869.40
  4. Step 4: Simplify right side
    6,964.60x = 46,823,663.46
  5. Step 5: Solve for x
    x = 46,823,663.46/6,964.60
  6. Step 6: Final answer
    x = 6,723.09

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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.