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Finding the Fourth Proportional to 9,809.59, 14,712.26 and 3,569.75

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Solution

The fourth proportional to 9,809.59, 14,712.26 and 3,569.75 is: 5,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.59 : 14,712.26 = 3,569.75 : x
  2. Step 2: Convert to fraction form
    9,809.59/14,712.26 = 3,569.75/x
  3. Step 3: Cross multiply
    9,809.59x = 14,712.26 × 3,569.75
  4. Step 4: Simplify right side
    9,809.59x = 52,519,109.07
  5. Step 5: Solve for x
    x = 52,519,109.07/9,809.59
  6. Step 6: Final answer
    x = 5,353.85

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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.