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Finding the Fourth Proportional to 9,569.94, 14,361.45 and 3,329.89

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Solution

The fourth proportional to 9,569.94, 14,361.45 and 3,329.89 is: 4,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.94 : 14,361.45 = 3,329.89 : x
  2. Step 2: Convert to fraction form
    9,569.94/14,361.45 = 3,329.89/x
  3. Step 3: Cross multiply
    9,569.94x = 14,361.45 × 3,329.89
  4. Step 4: Simplify right side
    9,569.94x = 47,822,048.74
  5. Step 5: Solve for x
    x = 47,822,048.74/9,569.94
  6. Step 6: Final answer
    x = 4,997.11

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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.