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Finding the Fourth Proportional to 9,957.59, 14,936.39 and 4,107.77

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Solution

The fourth proportional to 9,957.59, 14,936.39 and 4,107.77 is: 6,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.59 : 14,936.39 = 4,107.77 : x
  2. Step 2: Convert to fraction form
    9,957.59/14,936.39 = 4,107.77/x
  3. Step 3: Cross multiply
    9,957.59x = 14,936.39 × 4,107.77
  4. Step 4: Simplify right side
    9,957.59x = 61,355,159.53
  5. Step 5: Solve for x
    x = 61,355,159.53/9,957.59
  6. Step 6: Final answer
    x = 6,161.65

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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.