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Finding the Fourth Proportional to 6,232.17, 9,348.19 and 1,552.23

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Solution

The fourth proportional to 6,232.17, 9,348.19 and 1,552.23 is: 2,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.17 : 9,348.19 = 1,552.23 : x
  2. Step 2: Convert to fraction form
    6,232.17/9,348.19 = 1,552.23/x
  3. Step 3: Cross multiply
    6,232.17x = 9,348.19 × 1,552.23
  4. Step 4: Simplify right side
    6,232.17x = 14,510,537.08
  5. Step 5: Solve for x
    x = 14,510,537.08/6,232.17
  6. Step 6: Final answer
    x = 2,328.33

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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.