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Finding the Fourth Proportional to 6,343.13, 9,518.65 and 3,056.56

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Solution

The fourth proportional to 6,343.13, 9,518.65 and 3,056.56 is: 4,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.13 : 9,518.65 = 3,056.56 : x
  2. Step 2: Convert to fraction form
    6,343.13/9,518.65 = 3,056.56/x
  3. Step 3: Cross multiply
    6,343.13x = 9,518.65 × 3,056.56
  4. Step 4: Simplify right side
    6,343.13x = 29,094,293.41
  5. Step 5: Solve for x
    x = 29,094,293.41/6,343.13
  6. Step 6: Final answer
    x = 4,586.74

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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.