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Finding the Fourth Proportional to 9,645.04, 14,468.63 and 3,069.70

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Solution

The fourth proportional to 9,645.04, 14,468.63 and 3,069.70 is: 4,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.04 : 14,468.63 = 3,069.70 : x
  2. Step 2: Convert to fraction form
    9,645.04/14,468.63 = 3,069.70/x
  3. Step 3: Cross multiply
    9,645.04x = 14,468.63 × 3,069.70
  4. Step 4: Simplify right side
    9,645.04x = 44,414,301.99
  5. Step 5: Solve for x
    x = 44,414,301.99/9,645.04
  6. Step 6: Final answer
    x = 4,604.89

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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.