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Finding the Fourth Proportional to 9,669.74, 13,341.84 and 6,131.66

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Solution

The fourth proportional to 9,669.74, 13,341.84 and 6,131.66 is: 8,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.74 : 13,341.84 = 6,131.66 : x
  2. Step 2: Convert to fraction form
    9,669.74/13,341.84 = 6,131.66/x
  3. Step 3: Cross multiply
    9,669.74x = 13,341.84 × 6,131.66
  4. Step 4: Simplify right side
    9,669.74x = 81,807,626.65
  5. Step 5: Solve for x
    x = 81,807,626.65/9,669.74
  6. Step 6: Final answer
    x = 8,460.17

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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.