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Finding the Fourth Proportional to 6,833.54, 9,429.81 and 4,038.50

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Solution

The fourth proportional to 6,833.54, 9,429.81 and 4,038.50 is: 5,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.54 : 9,429.81 = 4,038.50 : x
  2. Step 2: Convert to fraction form
    6,833.54/9,429.81 = 4,038.50/x
  3. Step 3: Cross multiply
    6,833.54x = 9,429.81 × 4,038.50
  4. Step 4: Simplify right side
    6,833.54x = 38,082,287.69
  5. Step 5: Solve for x
    x = 38,082,287.69/6,833.54
  6. Step 6: Final answer
    x = 5,572.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.