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Finding the Fourth Proportional to 9,750.66, 14,625.97 and 3,176.84

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Solution

The fourth proportional to 9,750.66, 14,625.97 and 3,176.84 is: 4,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.66 : 14,625.97 = 3,176.84 : x
  2. Step 2: Convert to fraction form
    9,750.66/14,625.97 = 3,176.84/x
  3. Step 3: Cross multiply
    9,750.66x = 14,625.97 × 3,176.84
  4. Step 4: Simplify right side
    9,750.66x = 46,464,366.53
  5. Step 5: Solve for x
    x = 46,464,366.53/9,750.66
  6. Step 6: Final answer
    x = 4,765.25

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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.