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Finding the Fourth Proportional to 6,867.34, 9,476.04 and 4,476.22

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Solution

The fourth proportional to 6,867.34, 9,476.04 and 4,476.22 is: 6,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.34 : 9,476.04 = 4,476.22 : x
  2. Step 2: Convert to fraction form
    6,867.34/9,476.04 = 4,476.22/x
  3. Step 3: Cross multiply
    6,867.34x = 9,476.04 × 4,476.22
  4. Step 4: Simplify right side
    6,867.34x = 42,416,792.39
  5. Step 5: Solve for x
    x = 42,416,792.39/6,867.34
  6. Step 6: Final answer
    x = 6,176.60

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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.