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Finding the Fourth Proportional to 9,770.63, 14,658.98 and 2,845.13

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Solution

The fourth proportional to 9,770.63, 14,658.98 and 2,845.13 is: 4,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.63 : 14,658.98 = 2,845.13 : x
  2. Step 2: Convert to fraction form
    9,770.63/14,658.98 = 2,845.13/x
  3. Step 3: Cross multiply
    9,770.63x = 14,658.98 × 2,845.13
  4. Step 4: Simplify right side
    9,770.63x = 41,706,616.25
  5. Step 5: Solve for x
    x = 41,706,616.25/9,770.63
  6. Step 6: Final answer
    x = 4,268.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.