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Finding the Fourth Proportional to 9,291, 12,821.60 and 5,099.24

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Solution

The fourth proportional to 9,291, 12,821.60 and 5,099.24 is: 7,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 12,821.60 = 5,099.24 : x
  2. Step 2: Convert to fraction form
    9,291/12,821.60 = 5,099.24/x
  3. Step 3: Cross multiply
    9,291x = 12,821.60 × 5,099.24
  4. Step 4: Simplify right side
    9,291x = 65,380,415.58
  5. Step 5: Solve for x
    x = 65,380,415.58/9,291
  6. Step 6: Final answer
    x = 7,036.96

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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.