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Finding the Fourth Proportional to 9,476.85, 13,077.58 and 5,227.84

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Solution

The fourth proportional to 9,476.85, 13,077.58 and 5,227.84 is: 7,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.85 : 13,077.58 = 5,227.84 : x
  2. Step 2: Convert to fraction form
    9,476.85/13,077.58 = 5,227.84/x
  3. Step 3: Cross multiply
    9,476.85x = 13,077.58 × 5,227.84
  4. Step 4: Simplify right side
    9,476.85x = 68,367,494.20
  5. Step 5: Solve for x
    x = 68,367,494.20/9,476.85
  6. Step 6: Final answer
    x = 7,214.16

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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.