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Finding the Fourth Proportional to 9,724.52, 14,586.22 and 5,826.28

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Solution

The fourth proportional to 9,724.52, 14,586.22 and 5,826.28 is: 8,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.52 : 14,586.22 = 5,826.28 : x
  2. Step 2: Convert to fraction form
    9,724.52/14,586.22 = 5,826.28/x
  3. Step 3: Cross multiply
    9,724.52x = 14,586.22 × 5,826.28
  4. Step 4: Simplify right side
    9,724.52x = 84,983,401.86
  5. Step 5: Solve for x
    x = 84,983,401.86/9,724.52
  6. Step 6: Final answer
    x = 8,739.08

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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.