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Finding the Fourth Proportional to 9,492.87, 14,241.31 and 3,569.81

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Solution

The fourth proportional to 9,492.87, 14,241.31 and 3,569.81 is: 5,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.87 : 14,241.31 = 3,569.81 : x
  2. Step 2: Convert to fraction form
    9,492.87/14,241.31 = 3,569.81/x
  3. Step 3: Cross multiply
    9,492.87x = 14,241.31 × 3,569.81
  4. Step 4: Simplify right side
    9,492.87x = 50,838,745.78
  5. Step 5: Solve for x
    x = 50,838,745.78/9,492.87
  6. Step 6: Final answer
    x = 5,355.47

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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.