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Finding the Fourth Proportional to 9,612.57, 14,409.00 and 3,687.86

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Solution

The fourth proportional to 9,612.57, 14,409.00 and 3,687.86 is: 5,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.57 : 14,409.00 = 3,687.86 : x
  2. Step 2: Convert to fraction form
    9,612.57/14,409.00 = 3,687.86/x
  3. Step 3: Cross multiply
    9,612.57x = 14,409.00 × 3,687.86
  4. Step 4: Simplify right side
    9,612.57x = 53,138,284.26
  5. Step 5: Solve for x
    x = 53,138,284.26/9,612.57
  6. Step 6: Final answer
    x = 5,528.00

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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.