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Finding the Fourth Proportional to 9,644.40, 14,463.48 and 3,069.05

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Solution

The fourth proportional to 9,644.40, 14,463.48 and 3,069.05 is: 4,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.40 : 14,463.48 = 3,069.05 : x
  2. Step 2: Convert to fraction form
    9,644.40/14,463.48 = 3,069.05/x
  3. Step 3: Cross multiply
    9,644.40x = 14,463.48 × 3,069.05
  4. Step 4: Simplify right side
    9,644.40x = 44,389,070.98
  5. Step 5: Solve for x
    x = 44,389,070.98/9,644.40
  6. Step 6: Final answer
    x = 4,602.57

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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.