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Finding the Fourth Proportional to 9,750.50, 14,625.73 and 3,176.67

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Solution

The fourth proportional to 9,750.50, 14,625.73 and 3,176.67 is: 4,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.50 : 14,625.73 = 3,176.67 : x
  2. Step 2: Convert to fraction form
    9,750.50/14,625.73 = 3,176.67/x
  3. Step 3: Cross multiply
    9,750.50x = 14,625.73 × 3,176.67
  4. Step 4: Simplify right side
    9,750.50x = 46,461,143.94
  5. Step 5: Solve for x
    x = 46,461,143.94/9,750.50
  6. Step 6: Final answer
    x = 4,765.00

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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.