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Finding the Fourth Proportional to 6,315.21, 9,473.76 and 3,027.69

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Solution

The fourth proportional to 6,315.21, 9,473.76 and 3,027.69 is: 4,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.21 : 9,473.76 = 3,027.69 : x
  2. Step 2: Convert to fraction form
    6,315.21/9,473.76 = 3,027.69/x
  3. Step 3: Cross multiply
    6,315.21x = 9,473.76 × 3,027.69
  4. Step 4: Simplify right side
    6,315.21x = 28,683,608.41
  5. Step 5: Solve for x
    x = 28,683,608.41/6,315.21
  6. Step 6: Final answer
    x = 4,541.99

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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.