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Finding the Fourth Proportional to 6,650.65, 9,969.24 and 4,312.14

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Solution

The fourth proportional to 6,650.65, 9,969.24 and 4,312.14 is: 6,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.65 : 9,969.24 = 4,312.14 : x
  2. Step 2: Convert to fraction form
    6,650.65/9,969.24 = 4,312.14/x
  3. Step 3: Cross multiply
    6,650.65x = 9,969.24 × 4,312.14
  4. Step 4: Simplify right side
    6,650.65x = 42,988,737.36
  5. Step 5: Solve for x
    x = 42,988,737.36/6,650.65
  6. Step 6: Final answer
    x = 6,463.84

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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.