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Finding the Fourth Proportional to 9,766.35, 14,628.78 and 4,505.67

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Solution

The fourth proportional to 9,766.35, 14,628.78 and 4,505.67 is: 6,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.35 : 14,628.78 = 4,505.67 : x
  2. Step 2: Convert to fraction form
    9,766.35/14,628.78 = 4,505.67/x
  3. Step 3: Cross multiply
    9,766.35x = 14,628.78 × 4,505.67
  4. Step 4: Simplify right side
    9,766.35x = 65,912,455.18
  5. Step 5: Solve for x
    x = 65,912,455.18/9,766.35
  6. Step 6: Final answer
    x = 6,748.93

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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.