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Finding the Fourth Proportional to 9,801.32, 13,518 and 6,447.60

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Solution

The fourth proportional to 9,801.32, 13,518 and 6,447.60 is: 8,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.32 : 13,518 = 6,447.60 : x
  2. Step 2: Convert to fraction form
    9,801.32/13,518 = 6,447.60/x
  3. Step 3: Cross multiply
    9,801.32x = 13,518 × 6,447.60
  4. Step 4: Simplify right side
    9,801.32x = 87,158,656.80
  5. Step 5: Solve for x
    x = 87,158,656.80/9,801.32
  6. Step 6: Final answer
    x = 8,892.54

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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.