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Finding the Fourth Proportional to 9,263.82, 13,892.84 and 3,106.38

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Solution

The fourth proportional to 9,263.82, 13,892.84 and 3,106.38 is: 4,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.82 : 13,892.84 = 3,106.38 : x
  2. Step 2: Convert to fraction form
    9,263.82/13,892.84 = 3,106.38/x
  3. Step 3: Cross multiply
    9,263.82x = 13,892.84 × 3,106.38
  4. Step 4: Simplify right side
    9,263.82x = 43,156,440.32
  5. Step 5: Solve for x
    x = 43,156,440.32/9,263.82
  6. Step 6: Final answer
    x = 4,658.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.