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Finding the Fourth Proportional to 9,083.98, 12,536.06 and 5,105.08

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Solution

The fourth proportional to 9,083.98, 12,536.06 and 5,105.08 is: 7,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.98 : 12,536.06 = 5,105.08 : x
  2. Step 2: Convert to fraction form
    9,083.98/12,536.06 = 5,105.08/x
  3. Step 3: Cross multiply
    9,083.98x = 12,536.06 × 5,105.08
  4. Step 4: Simplify right side
    9,083.98x = 63,997,589.18
  5. Step 5: Solve for x
    x = 63,997,589.18/9,083.98
  6. Step 6: Final answer
    x = 7,045.10

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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.