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Finding the Fourth Proportional to 9,766.57, 14,652.99 and 3,526.54

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Solution

The fourth proportional to 9,766.57, 14,652.99 and 3,526.54 is: 5,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.57 : 14,652.99 = 3,526.54 : x
  2. Step 2: Convert to fraction form
    9,766.57/14,652.99 = 3,526.54/x
  3. Step 3: Cross multiply
    9,766.57x = 14,652.99 × 3,526.54
  4. Step 4: Simplify right side
    9,766.57x = 51,674,355.35
  5. Step 5: Solve for x
    x = 51,674,355.35/9,766.57
  6. Step 6: Final answer
    x = 5,290.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.