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Finding the Fourth Proportional to 9,406.47, 14,082.02 and 6,952.23

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Solution

The fourth proportional to 9,406.47, 14,082.02 and 6,952.23 is: 10,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.47 : 14,082.02 = 6,952.23 : x
  2. Step 2: Convert to fraction form
    9,406.47/14,082.02 = 6,952.23/x
  3. Step 3: Cross multiply
    9,406.47x = 14,082.02 × 6,952.23
  4. Step 4: Simplify right side
    9,406.47x = 97,901,407.14
  5. Step 5: Solve for x
    x = 97,901,407.14/9,406.47
  6. Step 6: Final answer
    x = 10,407.88

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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.