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Finding the Fourth Proportional to 9,602.22, 14,454.28 and 6,847.95

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Solution

The fourth proportional to 9,602.22, 14,454.28 and 6,847.95 is: 10,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.22 : 14,454.28 = 6,847.95 : x
  2. Step 2: Convert to fraction form
    9,602.22/14,454.28 = 6,847.95/x
  3. Step 3: Cross multiply
    9,602.22x = 14,454.28 × 6,847.95
  4. Step 4: Simplify right side
    9,602.22x = 98,982,186.73
  5. Step 5: Solve for x
    x = 98,982,186.73/9,602.22
  6. Step 6: Final answer
    x = 10,308.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.