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Finding the Fourth Proportional to 6,867.04, 9,476.38 and 4,509.04

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Solution

The fourth proportional to 6,867.04, 9,476.38 and 4,509.04 is: 6,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.04 : 9,476.38 = 4,509.04 : x
  2. Step 2: Convert to fraction form
    6,867.04/9,476.38 = 4,509.04/x
  3. Step 3: Cross multiply
    6,867.04x = 9,476.38 × 4,509.04
  4. Step 4: Simplify right side
    6,867.04x = 42,729,376.48
  5. Step 5: Solve for x
    x = 42,729,376.48/6,867.04
  6. Step 6: Final answer
    x = 6,222.39

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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.