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Finding the Fourth Proportional to 9,857.56, 14,783.14 and 3,281.98

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Solution

The fourth proportional to 9,857.56, 14,783.14 and 3,281.98 is: 4,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.56 : 14,783.14 = 3,281.98 : x
  2. Step 2: Convert to fraction form
    9,857.56/14,783.14 = 3,281.98/x
  3. Step 3: Cross multiply
    9,857.56x = 14,783.14 × 3,281.98
  4. Step 4: Simplify right side
    9,857.56x = 48,517,969.82
  5. Step 5: Solve for x
    x = 48,517,969.82/9,857.56
  6. Step 6: Final answer
    x = 4,921.90

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Why These Related Problems?

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