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Finding the Fourth Proportional to 9,912.84, 14,871.53 and 3,338.84

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Solution

The fourth proportional to 9,912.84, 14,871.53 and 3,338.84 is: 5,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.84 : 14,871.53 = 3,338.84 : x
  2. Step 2: Convert to fraction form
    9,912.84/14,871.53 = 3,338.84/x
  3. Step 3: Cross multiply
    9,912.84x = 14,871.53 × 3,338.84
  4. Step 4: Simplify right side
    9,912.84x = 49,653,659.23
  5. Step 5: Solve for x
    x = 49,653,659.23/9,912.84
  6. Step 6: Final answer
    x = 5,009.02

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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.