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Finding the Fourth Proportional to 9,370.14, 12,924.84 and 7,127.09

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Solution

The fourth proportional to 9,370.14, 12,924.84 and 7,127.09 is: 9,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.14 : 12,924.84 = 7,127.09 : x
  2. Step 2: Convert to fraction form
    9,370.14/12,924.84 = 7,127.09/x
  3. Step 3: Cross multiply
    9,370.14x = 12,924.84 × 7,127.09
  4. Step 4: Simplify right side
    9,370.14x = 92,116,497.92
  5. Step 5: Solve for x
    x = 92,116,497.92/9,370.14
  6. Step 6: Final answer
    x = 9,830.86

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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.