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Finding the Fourth Proportional to 9,927.87, 13,714.70 and 7,935.81

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Solution

The fourth proportional to 9,927.87, 13,714.70 and 7,935.81 is: 10,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.87 : 13,714.70 = 7,935.81 : x
  2. Step 2: Convert to fraction form
    9,927.87/13,714.70 = 7,935.81/x
  3. Step 3: Cross multiply
    9,927.87x = 13,714.70 × 7,935.81
  4. Step 4: Simplify right side
    9,927.87x = 108,837,213.73
  5. Step 5: Solve for x
    x = 108,837,213.73/9,927.87
  6. Step 6: Final answer
    x = 10,962.80

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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.