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Finding the Fourth Proportional to 6,394.14, 9,533.84 and 6,277.50

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Solution

The fourth proportional to 6,394.14, 9,533.84 and 6,277.50 is: 9,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.14 : 9,533.84 = 6,277.50 : x
  2. Step 2: Convert to fraction form
    6,394.14/9,533.84 = 6,277.50/x
  3. Step 3: Cross multiply
    6,394.14x = 9,533.84 × 6,277.50
  4. Step 4: Simplify right side
    6,394.14x = 59,848,649.21
  5. Step 5: Solve for x
    x = 59,848,649.21/6,394.14
  6. Step 6: Final answer
    x = 9,359.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.