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Finding the Fourth Proportional to 6,964.04, 9,612.07 and 4,309.88

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Solution

The fourth proportional to 6,964.04, 9,612.07 and 4,309.88 is: 5,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.04 : 9,612.07 = 4,309.88 : x
  2. Step 2: Convert to fraction form
    6,964.04/9,612.07 = 4,309.88/x
  3. Step 3: Cross multiply
    6,964.04x = 9,612.07 × 4,309.88
  4. Step 4: Simplify right side
    6,964.04x = 41,426,809.42
  5. Step 5: Solve for x
    x = 41,426,809.42/6,964.04
  6. Step 6: Final answer
    x = 5,948.67

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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.