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Finding the Fourth Proportional to 9,187.06, 12,681 and 5,409.92

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Solution

The fourth proportional to 9,187.06, 12,681 and 5,409.92 is: 7,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.06 : 12,681 = 5,409.92 : x
  2. Step 2: Convert to fraction form
    9,187.06/12,681 = 5,409.92/x
  3. Step 3: Cross multiply
    9,187.06x = 12,681 × 5,409.92
  4. Step 4: Simplify right side
    9,187.06x = 68,603,195.52
  5. Step 5: Solve for x
    x = 68,603,195.52/9,187.06
  6. Step 6: Final answer
    x = 7,467.37

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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.