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Finding the Fourth Proportional to 9,263.94, 13,896.84 and 3,023.70

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Solution

The fourth proportional to 9,263.94, 13,896.84 and 3,023.70 is: 4,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.94 : 13,896.84 = 3,023.70 : x
  2. Step 2: Convert to fraction form
    9,263.94/13,896.84 = 3,023.70/x
  3. Step 3: Cross multiply
    9,263.94x = 13,896.84 × 3,023.70
  4. Step 4: Simplify right side
    9,263.94x = 42,019,875.11
  5. Step 5: Solve for x
    x = 42,019,875.11/9,263.94
  6. Step 6: Final answer
    x = 4,535.85

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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.