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Finding the Fourth Proportional to 9,586.44, 14,362.38 and 8,024.76

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Solution

The fourth proportional to 9,586.44, 14,362.38 and 8,024.76 is: 12,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.44 : 14,362.38 = 8,024.76 : x
  2. Step 2: Convert to fraction form
    9,586.44/14,362.38 = 8,024.76/x
  3. Step 3: Cross multiply
    9,586.44x = 14,362.38 × 8,024.76
  4. Step 4: Simplify right side
    9,586.44x = 115,254,652.53
  5. Step 5: Solve for x
    x = 115,254,652.53/9,586.44
  6. Step 6: Final answer
    x = 12,022.68

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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.