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Finding the Fourth Proportional to 9,569.84, 14,353.14 and 2,644.36

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Solution

The fourth proportional to 9,569.84, 14,353.14 and 2,644.36 is: 3,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.84 : 14,353.14 = 2,644.36 : x
  2. Step 2: Convert to fraction form
    9,569.84/14,353.14 = 2,644.36/x
  3. Step 3: Cross multiply
    9,569.84x = 14,353.14 × 2,644.36
  4. Step 4: Simplify right side
    9,569.84x = 37,954,869.29
  5. Step 5: Solve for x
    x = 37,954,869.29/9,569.84
  6. Step 6: Final answer
    x = 3,966.09

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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.