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Finding the Fourth Proportional to 9,393.12, 12,962.64 and 5,201.28

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Solution

The fourth proportional to 9,393.12, 12,962.64 and 5,201.28 is: 7,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.12 : 12,962.64 = 5,201.28 : x
  2. Step 2: Convert to fraction form
    9,393.12/12,962.64 = 5,201.28/x
  3. Step 3: Cross multiply
    9,393.12x = 12,962.64 × 5,201.28
  4. Step 4: Simplify right side
    9,393.12x = 67,422,320.18
  5. Step 5: Solve for x
    x = 67,422,320.18/9,393.12
  6. Step 6: Final answer
    x = 7,177.84

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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.