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Finding the Fourth Proportional to 9,857.12, 14,768.96 and 5,953.32

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Solution

The fourth proportional to 9,857.12, 14,768.96 and 5,953.32 is: 8,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.12 : 14,768.96 = 5,953.32 : x
  2. Step 2: Convert to fraction form
    9,857.12/14,768.96 = 5,953.32/x
  3. Step 3: Cross multiply
    9,857.12x = 14,768.96 × 5,953.32
  4. Step 4: Simplify right side
    9,857.12x = 87,924,315.18
  5. Step 5: Solve for x
    x = 87,924,315.18/9,857.12
  6. Step 6: Final answer
    x = 8,919.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.