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Finding the Fourth Proportional to 7,309.70, 10,964.55 and 6,503.30

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Solution

The fourth proportional to 7,309.70, 10,964.55 and 6,503.30 is: 9,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.70 : 10,964.55 = 6,503.30 : x
  2. Step 2: Convert to fraction form
    7,309.70/10,964.55 = 6,503.30/x
  3. Step 3: Cross multiply
    7,309.70x = 10,964.55 × 6,503.30
  4. Step 4: Simplify right side
    7,309.70x = 71,305,758.02
  5. Step 5: Solve for x
    x = 71,305,758.02/7,309.70
  6. Step 6: Final answer
    x = 9,754.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.