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Finding the Fourth Proportional to 9,770.82, 14,649.27 and 4,573.86

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Solution

The fourth proportional to 9,770.82, 14,649.27 and 4,573.86 is: 6,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.82 : 14,649.27 = 4,573.86 : x
  2. Step 2: Convert to fraction form
    9,770.82/14,649.27 = 4,573.86/x
  3. Step 3: Cross multiply
    9,770.82x = 14,649.27 × 4,573.86
  4. Step 4: Simplify right side
    9,770.82x = 67,003,710.08
  5. Step 5: Solve for x
    x = 67,003,710.08/9,770.82
  6. Step 6: Final answer
    x = 6,857.53

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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.