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Finding the Fourth Proportional to 9,770.85, 14,635.53 and 4,510.17

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Solution

The fourth proportional to 9,770.85, 14,635.53 and 4,510.17 is: 6,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.85 : 14,635.53 = 4,510.17 : x
  2. Step 2: Convert to fraction form
    9,770.85/14,635.53 = 4,510.17/x
  3. Step 3: Cross multiply
    9,770.85x = 14,635.53 × 4,510.17
  4. Step 4: Simplify right side
    9,770.85x = 66,008,728.34
  5. Step 5: Solve for x
    x = 66,008,728.34/9,770.85
  6. Step 6: Final answer
    x = 6,755.68

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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.