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Finding the Fourth Proportional to 9,724.76, 13,420.43 and 5,947.86

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Solution

The fourth proportional to 9,724.76, 13,420.43 and 5,947.86 is: 8,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.76 : 13,420.43 = 5,947.86 : x
  2. Step 2: Convert to fraction form
    9,724.76/13,420.43 = 5,947.86/x
  3. Step 3: Cross multiply
    9,724.76x = 13,420.43 × 5,947.86
  4. Step 4: Simplify right side
    9,724.76x = 79,822,838.78
  5. Step 5: Solve for x
    x = 79,822,838.78/9,724.76
  6. Step 6: Final answer
    x = 8,208.21

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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.