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Finding the Fourth Proportional to 9,770.49, 14,657.96 and 3,196.53

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Solution

The fourth proportional to 9,770.49, 14,657.96 and 3,196.53 is: 4,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.49 : 14,657.96 = 3,196.53 : x
  2. Step 2: Convert to fraction form
    9,770.49/14,657.96 = 3,196.53/x
  3. Step 3: Cross multiply
    9,770.49x = 14,657.96 × 3,196.53
  4. Step 4: Simplify right side
    9,770.49x = 46,854,616.87
  5. Step 5: Solve for x
    x = 46,854,616.87/9,770.49
  6. Step 6: Final answer
    x = 4,795.52

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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.