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Finding the Fourth Proportional to 9,643.56, 14,465.34 and 3,069.75

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Solution

The fourth proportional to 9,643.56, 14,465.34 and 3,069.75 is: 4,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.56 : 14,465.34 = 3,069.75 : x
  2. Step 2: Convert to fraction form
    9,643.56/14,465.34 = 3,069.75/x
  3. Step 3: Cross multiply
    9,643.56x = 14,465.34 × 3,069.75
  4. Step 4: Simplify right side
    9,643.56x = 44,404,977.47
  5. Step 5: Solve for x
    x = 44,404,977.47/9,643.56
  6. Step 6: Final answer
    x = 4,604.63

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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.