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Finding the Fourth Proportional to 9,765.05, 14,649.86 and 3,191.22

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Solution

The fourth proportional to 9,765.05, 14,649.86 and 3,191.22 is: 4,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.05 : 14,649.86 = 3,191.22 : x
  2. Step 2: Convert to fraction form
    9,765.05/14,649.86 = 3,191.22/x
  3. Step 3: Cross multiply
    9,765.05x = 14,649.86 × 3,191.22
  4. Step 4: Simplify right side
    9,765.05x = 46,750,934.21
  5. Step 5: Solve for x
    x = 46,750,934.21/9,765.05
  6. Step 6: Final answer
    x = 4,787.58

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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.