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Finding the Fourth Proportional to 9,770.85, 14,645.34 and 7,818.95

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Solution

The fourth proportional to 9,770.85, 14,645.34 and 7,818.95 is: 11,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.85 : 14,645.34 = 7,818.95 : x
  2. Step 2: Convert to fraction form
    9,770.85/14,645.34 = 7,818.95/x
  3. Step 3: Cross multiply
    9,770.85x = 14,645.34 × 7,818.95
  4. Step 4: Simplify right side
    9,770.85x = 114,511,217.81
  5. Step 5: Solve for x
    x = 114,511,217.81/9,770.85
  6. Step 6: Final answer
    x = 11,719.68

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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.