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Finding the Fourth Proportional to 9,586.53, 14,363.84 and 3,343.10

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Solution

The fourth proportional to 9,586.53, 14,363.84 and 3,343.10 is: 5,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.53 : 14,363.84 = 3,343.10 : x
  2. Step 2: Convert to fraction form
    9,586.53/14,363.84 = 3,343.10/x
  3. Step 3: Cross multiply
    9,586.53x = 14,363.84 × 3,343.10
  4. Step 4: Simplify right side
    9,586.53x = 48,019,753.50
  5. Step 5: Solve for x
    x = 48,019,753.50/9,586.53
  6. Step 6: Final answer
    x = 5,009.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.