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Finding the Fourth Proportional to 9,760.08, 13,466.52 and 5,781

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Solution

The fourth proportional to 9,760.08, 13,466.52 and 5,781 is: 7,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.08 : 13,466.52 = 5,781 : x
  2. Step 2: Convert to fraction form
    9,760.08/13,466.52 = 5,781/x
  3. Step 3: Cross multiply
    9,760.08x = 13,466.52 × 5,781
  4. Step 4: Simplify right side
    9,760.08x = 77,849,952.12
  5. Step 5: Solve for x
    x = 77,849,952.12/9,760.08
  6. Step 6: Final answer
    x = 7,976.36

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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.