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Finding the Fourth Proportional to 9,091.36, 12,543.06 and 7,409.87

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Solution

The fourth proportional to 9,091.36, 12,543.06 and 7,409.87 is: 10,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.36 : 12,543.06 = 7,409.87 : x
  2. Step 2: Convert to fraction form
    9,091.36/12,543.06 = 7,409.87/x
  3. Step 3: Cross multiply
    9,091.36x = 12,543.06 × 7,409.87
  4. Step 4: Simplify right side
    9,091.36x = 92,942,475.36
  5. Step 5: Solve for x
    x = 92,942,475.36/9,091.36
  6. Step 6: Final answer
    x = 10,223.17

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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.