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Finding the Fourth Proportional to 9,913.02, 13,679.46 and 5,721

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Solution

The fourth proportional to 9,913.02, 13,679.46 and 5,721 is: 7,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.02 : 13,679.46 = 5,721 : x
  2. Step 2: Convert to fraction form
    9,913.02/13,679.46 = 5,721/x
  3. Step 3: Cross multiply
    9,913.02x = 13,679.46 × 5,721
  4. Step 4: Simplify right side
    9,913.02x = 78,260,190.66
  5. Step 5: Solve for x
    x = 78,260,190.66/9,913.02
  6. Step 6: Final answer
    x = 7,894.69

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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.