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Finding the Fourth Proportional to 6,339.28, 9,504.04 and 3,875.28

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Solution

The fourth proportional to 6,339.28, 9,504.04 and 3,875.28 is: 5,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.28 : 9,504.04 = 3,875.28 : x
  2. Step 2: Convert to fraction form
    6,339.28/9,504.04 = 3,875.28/x
  3. Step 3: Cross multiply
    6,339.28x = 9,504.04 × 3,875.28
  4. Step 4: Simplify right side
    6,339.28x = 36,830,816.13
  5. Step 5: Solve for x
    x = 36,830,816.13/6,339.28
  6. Step 6: Final answer
    x = 5,809.94

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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.