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Finding the Fourth Proportional to 9,188.36, 12,679.89 and 5,411.51

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Solution

The fourth proportional to 9,188.36, 12,679.89 and 5,411.51 is: 7,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.36 : 12,679.89 = 5,411.51 : x
  2. Step 2: Convert to fraction form
    9,188.36/12,679.89 = 5,411.51/x
  3. Step 3: Cross multiply
    9,188.36x = 12,679.89 × 5,411.51
  4. Step 4: Simplify right side
    9,188.36x = 68,617,288.13
  5. Step 5: Solve for x
    x = 68,617,288.13/9,188.36
  6. Step 6: Final answer
    x = 7,467.85

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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.