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Finding the Fourth Proportional to 9,190.13, 12,677.03 and 6,669.31

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Solution

The fourth proportional to 9,190.13, 12,677.03 and 6,669.31 is: 9,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.13 : 12,677.03 = 6,669.31 : x
  2. Step 2: Convert to fraction form
    9,190.13/12,677.03 = 6,669.31/x
  3. Step 3: Cross multiply
    9,190.13x = 12,677.03 × 6,669.31
  4. Step 4: Simplify right side
    9,190.13x = 84,547,042.95
  5. Step 5: Solve for x
    x = 84,547,042.95/9,190.13
  6. Step 6: Final answer
    x = 9,199.77

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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.