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Finding the Fourth Proportional to 9,750.69, 14,627.25 and 3,175.11

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Solution

The fourth proportional to 9,750.69, 14,627.25 and 3,175.11 is: 4,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.69 : 14,627.25 = 3,175.11 : x
  2. Step 2: Convert to fraction form
    9,750.69/14,627.25 = 3,175.11/x
  3. Step 3: Cross multiply
    9,750.69x = 14,627.25 × 3,175.11
  4. Step 4: Simplify right side
    9,750.69x = 46,443,127.75
  5. Step 5: Solve for x
    x = 46,443,127.75/9,750.69
  6. Step 6: Final answer
    x = 4,763.06

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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.