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Finding the Fourth Proportional to 10,209.02, 14,082.06 and 6,672.14

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Solution

The fourth proportional to 10,209.02, 14,082.06 and 6,672.14 is: 9,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.02 : 14,082.06 = 6,672.14 : x
  2. Step 2: Convert to fraction form
    10,209.02/14,082.06 = 6,672.14/x
  3. Step 3: Cross multiply
    10,209.02x = 14,082.06 × 6,672.14
  4. Step 4: Simplify right side
    10,209.02x = 93,957,475.81
  5. Step 5: Solve for x
    x = 93,957,475.81/10,209.02
  6. Step 6: Final answer
    x = 9,203.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.