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Finding the Fourth Proportional to 9,871.68, 14,803.48 and 4,935.44

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Solution

The fourth proportional to 9,871.68, 14,803.48 and 4,935.44 is: 7,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.68 : 14,803.48 = 4,935.44 : x
  2. Step 2: Convert to fraction form
    9,871.68/14,803.48 = 4,935.44/x
  3. Step 3: Cross multiply
    9,871.68x = 14,803.48 × 4,935.44
  4. Step 4: Simplify right side
    9,871.68x = 73,061,687.33
  5. Step 5: Solve for x
    x = 73,061,687.33/9,871.68
  6. Step 6: Final answer
    x = 7,401.14

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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.