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Finding the Fourth Proportional to 9,203.55, 12,699.14 and 5,846.91

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Solution

The fourth proportional to 9,203.55, 12,699.14 and 5,846.91 is: 8,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.55 : 12,699.14 = 5,846.91 : x
  2. Step 2: Convert to fraction form
    9,203.55/12,699.14 = 5,846.91/x
  3. Step 3: Cross multiply
    9,203.55x = 12,699.14 × 5,846.91
  4. Step 4: Simplify right side
    9,203.55x = 74,250,728.66
  5. Step 5: Solve for x
    x = 74,250,728.66/9,203.55
  6. Step 6: Final answer
    x = 8,067.62

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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.