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Finding the Fourth Proportional to 9,445.89, 14,150.34 and 7,243.83

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Solution

The fourth proportional to 9,445.89, 14,150.34 and 7,243.83 is: 10,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.89 : 14,150.34 = 7,243.83 : x
  2. Step 2: Convert to fraction form
    9,445.89/14,150.34 = 7,243.83/x
  3. Step 3: Cross multiply
    9,445.89x = 14,150.34 × 7,243.83
  4. Step 4: Simplify right side
    9,445.89x = 102,502,657.40
  5. Step 5: Solve for x
    x = 102,502,657.40/9,445.89
  6. Step 6: Final answer
    x = 10,851.56

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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.