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Finding the Fourth Proportional to 6,252.49, 8,634.89 and 5,409.14

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Solution

The fourth proportional to 6,252.49, 8,634.89 and 5,409.14 is: 7,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.49 : 8,634.89 = 5,409.14 : x
  2. Step 2: Convert to fraction form
    6,252.49/8,634.89 = 5,409.14/x
  3. Step 3: Cross multiply
    6,252.49x = 8,634.89 × 5,409.14
  4. Step 4: Simplify right side
    6,252.49x = 46,707,328.89
  5. Step 5: Solve for x
    x = 46,707,328.89/6,252.49
  6. Step 6: Final answer
    x = 7,470.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.