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Finding the Fourth Proportional to 9,750.16, 14,625.22 and 3,176.34

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Solution

The fourth proportional to 9,750.16, 14,625.22 and 3,176.34 is: 4,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.16 : 14,625.22 = 3,176.34 : x
  2. Step 2: Convert to fraction form
    9,750.16/14,625.22 = 3,176.34/x
  3. Step 3: Cross multiply
    9,750.16x = 14,625.22 × 3,176.34
  4. Step 4: Simplify right side
    9,750.16x = 46,454,671.29
  5. Step 5: Solve for x
    x = 46,454,671.29/9,750.16
  6. Step 6: Final answer
    x = 4,764.50

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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.