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Finding the Fourth Proportional to 6,311.19, 9,468.81 and 3,024.51

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Solution

The fourth proportional to 6,311.19, 9,468.81 and 3,024.51 is: 4,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.19 : 9,468.81 = 3,024.51 : x
  2. Step 2: Convert to fraction form
    6,311.19/9,468.81 = 3,024.51/x
  3. Step 3: Cross multiply
    6,311.19x = 9,468.81 × 3,024.51
  4. Step 4: Simplify right side
    6,311.19x = 28,638,510.53
  5. Step 5: Solve for x
    x = 28,638,510.53/6,311.19
  6. Step 6: Final answer
    x = 4,537.74

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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.