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Finding the Fourth Proportional to 9,957.68, 14,945.73 and 5,030.78

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Solution

The fourth proportional to 9,957.68, 14,945.73 and 5,030.78 is: 7,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.68 : 14,945.73 = 5,030.78 : x
  2. Step 2: Convert to fraction form
    9,957.68/14,945.73 = 5,030.78/x
  3. Step 3: Cross multiply
    9,957.68x = 14,945.73 × 5,030.78
  4. Step 4: Simplify right side
    9,957.68x = 75,188,604.84
  5. Step 5: Solve for x
    x = 75,188,604.84/9,957.68
  6. Step 6: Final answer
    x = 7,550.82

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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.