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Finding the Fourth Proportional to 9,423.81, 14,122.50 and 7,082.32

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Solution

The fourth proportional to 9,423.81, 14,122.50 and 7,082.32 is: 10,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.81 : 14,122.50 = 7,082.32 : x
  2. Step 2: Convert to fraction form
    9,423.81/14,122.50 = 7,082.32/x
  3. Step 3: Cross multiply
    9,423.81x = 14,122.50 × 7,082.32
  4. Step 4: Simplify right side
    9,423.81x = 100,020,064.20
  5. Step 5: Solve for x
    x = 100,020,064.20/9,423.81
  6. Step 6: Final answer
    x = 10,613.55

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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.