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Finding the Fourth Proportional to 9,846.92, 13,588.22 and 5,655.18

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Solution

The fourth proportional to 9,846.92, 13,588.22 and 5,655.18 is: 7,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.92 : 13,588.22 = 5,655.18 : x
  2. Step 2: Convert to fraction form
    9,846.92/13,588.22 = 5,655.18/x
  3. Step 3: Cross multiply
    9,846.92x = 13,588.22 × 5,655.18
  4. Step 4: Simplify right side
    9,846.92x = 76,843,829.98
  5. Step 5: Solve for x
    x = 76,843,829.98/9,846.92
  6. Step 6: Final answer
    x = 7,803.84

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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.