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Finding the Fourth Proportional to 9,957.14, 14,944.94 and 5,030.25

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Solution

The fourth proportional to 9,957.14, 14,944.94 and 5,030.25 is: 7,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.14 : 14,944.94 = 5,030.25 : x
  2. Step 2: Convert to fraction form
    9,957.14/14,944.94 = 5,030.25/x
  3. Step 3: Cross multiply
    9,957.14x = 14,944.94 × 5,030.25
  4. Step 4: Simplify right side
    9,957.14x = 75,176,759.28
  5. Step 5: Solve for x
    x = 75,176,759.28/9,957.14
  6. Step 6: Final answer
    x = 7,550.04

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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.