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Finding the Fourth Proportional to 9,750.66, 14,622.54 and 3,175.62

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Solution

The fourth proportional to 9,750.66, 14,622.54 and 3,175.62 is: 4,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.66 : 14,622.54 = 3,175.62 : x
  2. Step 2: Convert to fraction form
    9,750.66/14,622.54 = 3,175.62/x
  3. Step 3: Cross multiply
    9,750.66x = 14,622.54 × 3,175.62
  4. Step 4: Simplify right side
    9,750.66x = 46,435,630.47
  5. Step 5: Solve for x
    x = 46,435,630.47/9,750.66
  6. Step 6: Final answer
    x = 4,762.31

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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.