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Finding the Fourth Proportional to 9,513.72, 14,265.72 and 5,816.88

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Solution

The fourth proportional to 9,513.72, 14,265.72 and 5,816.88 is: 8,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.72 : 14,265.72 = 5,816.88 : x
  2. Step 2: Convert to fraction form
    9,513.72/14,265.72 = 5,816.88/x
  3. Step 3: Cross multiply
    9,513.72x = 14,265.72 × 5,816.88
  4. Step 4: Simplify right side
    9,513.72x = 82,981,981.35
  5. Step 5: Solve for x
    x = 82,981,981.35/9,513.72
  6. Step 6: Final answer
    x = 8,722.35

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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.