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Finding the Fourth Proportional to 9,750.29, 14,625.41 and 3,176.46

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Solution

The fourth proportional to 9,750.29, 14,625.41 and 3,176.46 is: 4,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.29 : 14,625.41 = 3,176.46 : x
  2. Step 2: Convert to fraction form
    9,750.29/14,625.41 = 3,176.46/x
  3. Step 3: Cross multiply
    9,750.29x = 14,625.41 × 3,176.46
  4. Step 4: Simplify right side
    9,750.29x = 46,457,013.97
  5. Step 5: Solve for x
    x = 46,457,013.97/9,750.29
  6. Step 6: Final answer
    x = 4,764.68

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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.