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Finding the Fourth Proportional to 9,976.34, 13,763.50 and 5,725.87

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Solution

The fourth proportional to 9,976.34, 13,763.50 and 5,725.87 is: 7,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.34 : 13,763.50 = 5,725.87 : x
  2. Step 2: Convert to fraction form
    9,976.34/13,763.50 = 5,725.87/x
  3. Step 3: Cross multiply
    9,976.34x = 13,763.50 × 5,725.87
  4. Step 4: Simplify right side
    9,976.34x = 78,807,963.02
  5. Step 5: Solve for x
    x = 78,807,963.02/9,976.34
  6. Step 6: Final answer
    x = 7,899.48

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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.