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Finding the Fourth Proportional to 9,181.97, 12,670.86 and 5,203.45

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Solution

The fourth proportional to 9,181.97, 12,670.86 and 5,203.45 is: 7,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.97 : 12,670.86 = 5,203.45 : x
  2. Step 2: Convert to fraction form
    9,181.97/12,670.86 = 5,203.45/x
  3. Step 3: Cross multiply
    9,181.97x = 12,670.86 × 5,203.45
  4. Step 4: Simplify right side
    9,181.97x = 65,932,186.47
  5. Step 5: Solve for x
    x = 65,932,186.47/9,181.97
  6. Step 6: Final answer
    x = 7,180.61

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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.