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Finding the Fourth Proportional to 9,252.77, 13,880.52 and 2,678.13

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Solution

The fourth proportional to 9,252.77, 13,880.52 and 2,678.13 is: 4,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.77 : 13,880.52 = 2,678.13 : x
  2. Step 2: Convert to fraction form
    9,252.77/13,880.52 = 2,678.13/x
  3. Step 3: Cross multiply
    9,252.77x = 13,880.52 × 2,678.13
  4. Step 4: Simplify right side
    9,252.77x = 37,173,837.03
  5. Step 5: Solve for x
    x = 37,173,837.03/9,252.77
  6. Step 6: Final answer
    x = 4,017.59

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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.