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Finding the Fourth Proportional to 9,770.69, 14,655.42 and 4,220.13

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Solution

The fourth proportional to 9,770.69, 14,655.42 and 4,220.13 is: 6,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.69 : 14,655.42 = 4,220.13 : x
  2. Step 2: Convert to fraction form
    9,770.69/14,655.42 = 4,220.13/x
  3. Step 3: Cross multiply
    9,770.69x = 14,655.42 × 4,220.13
  4. Step 4: Simplify right side
    9,770.69x = 61,847,777.60
  5. Step 5: Solve for x
    x = 61,847,777.60/9,770.69
  6. Step 6: Final answer
    x = 6,329.93

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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.