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Finding the Fourth Proportional to 9,433.10, 14,134.16 and 5,736.40

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Solution

The fourth proportional to 9,433.10, 14,134.16 and 5,736.40 is: 8,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.10 : 14,134.16 = 5,736.40 : x
  2. Step 2: Convert to fraction form
    9,433.10/14,134.16 = 5,736.40/x
  3. Step 3: Cross multiply
    9,433.10x = 14,134.16 × 5,736.40
  4. Step 4: Simplify right side
    9,433.10x = 81,079,195.42
  5. Step 5: Solve for x
    x = 81,079,195.42/9,433.10
  6. Step 6: Final answer
    x = 8,595.18

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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.