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Finding the Fourth Proportional to 9,957.59, 14,934.66 and 3,716.94

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Solution

The fourth proportional to 9,957.59, 14,934.66 and 3,716.94 is: 5,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.59 : 14,934.66 = 3,716.94 : x
  2. Step 2: Convert to fraction form
    9,957.59/14,934.66 = 3,716.94/x
  3. Step 3: Cross multiply
    9,957.59x = 14,934.66 × 3,716.94
  4. Step 4: Simplify right side
    9,957.59x = 55,511,235.14
  5. Step 5: Solve for x
    x = 55,511,235.14/9,957.59
  6. Step 6: Final answer
    x = 5,574.77

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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.