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Finding the Fourth Proportional to 9,292.80, 12,824.32 and 5,101.44

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Solution

The fourth proportional to 9,292.80, 12,824.32 and 5,101.44 is: 7,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.80 : 12,824.32 = 5,101.44 : x
  2. Step 2: Convert to fraction form
    9,292.80/12,824.32 = 5,101.44/x
  3. Step 3: Cross multiply
    9,292.80x = 12,824.32 × 5,101.44
  4. Step 4: Simplify right side
    9,292.80x = 65,422,499.02
  5. Step 5: Solve for x
    x = 65,422,499.02/9,292.80
  6. Step 6: Final answer
    x = 7,040.13

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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.