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Finding the Fourth Proportional to 9,643.45, 14,465.02 and 3,069.56

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Solution

The fourth proportional to 9,643.45, 14,465.02 and 3,069.56 is: 4,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.45 : 14,465.02 = 3,069.56 : x
  2. Step 2: Convert to fraction form
    9,643.45/14,465.02 = 3,069.56/x
  3. Step 3: Cross multiply
    9,643.45x = 14,465.02 × 3,069.56
  4. Step 4: Simplify right side
    9,643.45x = 44,401,246.79
  5. Step 5: Solve for x
    x = 44,401,246.79/9,643.45
  6. Step 6: Final answer
    x = 4,604.29

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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.