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Finding the Fourth Proportional to 9,338.98, 12,887.76 and 5,147.23

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Solution

The fourth proportional to 9,338.98, 12,887.76 and 5,147.23 is: 7,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.98 : 12,887.76 = 5,147.23 : x
  2. Step 2: Convert to fraction form
    9,338.98/12,887.76 = 5,147.23/x
  3. Step 3: Cross multiply
    9,338.98x = 12,887.76 × 5,147.23
  4. Step 4: Simplify right side
    9,338.98x = 66,336,264.90
  5. Step 5: Solve for x
    x = 66,336,264.90/9,338.98
  6. Step 6: Final answer
    x = 7,103.16

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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.