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Finding the Fourth Proportional to 9,181.89, 12,670.07 and 5,203.35

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Solution

The fourth proportional to 9,181.89, 12,670.07 and 5,203.35 is: 7,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.89 : 12,670.07 = 5,203.35 : x
  2. Step 2: Convert to fraction form
    9,181.89/12,670.07 = 5,203.35/x
  3. Step 3: Cross multiply
    9,181.89x = 12,670.07 × 5,203.35
  4. Step 4: Simplify right side
    9,181.89x = 65,926,782.72
  5. Step 5: Solve for x
    x = 65,926,782.72/9,181.89
  6. Step 6: Final answer
    x = 7,180.09

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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.