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Finding the Fourth Proportional to 9,857.40, 14,786.06 and 2,931.90

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Solution

The fourth proportional to 9,857.40, 14,786.06 and 2,931.90 is: 4,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.40 : 14,786.06 = 2,931.90 : x
  2. Step 2: Convert to fraction form
    9,857.40/14,786.06 = 2,931.90/x
  3. Step 3: Cross multiply
    9,857.40x = 14,786.06 × 2,931.90
  4. Step 4: Simplify right side
    9,857.40x = 43,351,249.31
  5. Step 5: Solve for x
    x = 43,351,249.31/9,857.40
  6. Step 6: Final answer
    x = 4,397.84

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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.