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Finding the Fourth Proportional to 9,930.32, 13,704.57 and 6,154.22

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Solution

The fourth proportional to 9,930.32, 13,704.57 and 6,154.22 is: 8,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.32 : 13,704.57 = 6,154.22 : x
  2. Step 2: Convert to fraction form
    9,930.32/13,704.57 = 6,154.22/x
  3. Step 3: Cross multiply
    9,930.32x = 13,704.57 × 6,154.22
  4. Step 4: Simplify right side
    9,930.32x = 84,340,973.05
  5. Step 5: Solve for x
    x = 84,340,973.05/9,930.32
  6. Step 6: Final answer
    x = 8,493.28

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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.