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Finding the Fourth Proportional to 9,187.08, 12,663.62 and 8,424.34

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Solution

The fourth proportional to 9,187.08, 12,663.62 and 8,424.34 is: 11,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.08 : 12,663.62 = 8,424.34 : x
  2. Step 2: Convert to fraction form
    9,187.08/12,663.62 = 8,424.34/x
  3. Step 3: Cross multiply
    9,187.08x = 12,663.62 × 8,424.34
  4. Step 4: Simplify right side
    9,187.08x = 106,682,640.51
  5. Step 5: Solve for x
    x = 106,682,640.51/9,187.08
  6. Step 6: Final answer
    x = 11,612.25

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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.