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Finding the Fourth Proportional to 9,586.56, 13,224 and 5,857.92

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Solution

The fourth proportional to 9,586.56, 13,224 and 5,857.92 is: 8,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.56 : 13,224 = 5,857.92 : x
  2. Step 2: Convert to fraction form
    9,586.56/13,224 = 5,857.92/x
  3. Step 3: Cross multiply
    9,586.56x = 13,224 × 5,857.92
  4. Step 4: Simplify right side
    9,586.56x = 77,465,134.08
  5. Step 5: Solve for x
    x = 77,465,134.08/9,586.56
  6. Step 6: Final answer
    x = 8,080.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.