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Finding the Fourth Proportional to 6,867.96, 9,476.91 and 4,476.84

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Solution

The fourth proportional to 6,867.96, 9,476.91 and 4,476.84 is: 6,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.96 : 9,476.91 = 4,476.84 : x
  2. Step 2: Convert to fraction form
    6,867.96/9,476.91 = 4,476.84/x
  3. Step 3: Cross multiply
    6,867.96x = 9,476.91 × 4,476.84
  4. Step 4: Simplify right side
    6,867.96x = 42,426,609.76
  5. Step 5: Solve for x
    x = 42,426,609.76/6,867.96
  6. Step 6: Final answer
    x = 6,177.47

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