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Finding the Fourth Proportional to 6,033.80, 9,038.70 and 5,312.20

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Solution

The fourth proportional to 6,033.80, 9,038.70 and 5,312.20 is: 7,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.80 : 9,038.70 = 5,312.20 : x
  2. Step 2: Convert to fraction form
    6,033.80/9,038.70 = 5,312.20/x
  3. Step 3: Cross multiply
    6,033.80x = 9,038.70 × 5,312.20
  4. Step 4: Simplify right side
    6,033.80x = 48,015,382.14
  5. Step 5: Solve for x
    x = 48,015,382.14/6,033.80
  6. Step 6: Final answer
    x = 7,957.74

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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.