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Finding the Fourth Proportional to 9,393, 12,962.36 and 5,201.88

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Solution

The fourth proportional to 9,393, 12,962.36 and 5,201.88 is: 7,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393 : 12,962.36 = 5,201.88 : x
  2. Step 2: Convert to fraction form
    9,393/12,962.36 = 5,201.88/x
  3. Step 3: Cross multiply
    9,393x = 12,962.36 × 5,201.88
  4. Step 4: Simplify right side
    9,393x = 67,428,641.24
  5. Step 5: Solve for x
    x = 67,428,641.24/9,393
  6. Step 6: Final answer
    x = 7,178.61

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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.