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Finding the Fourth Proportional to 9,243.06, 13,851.49 and 7,153.34

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Solution

The fourth proportional to 9,243.06, 13,851.49 and 7,153.34 is: 10,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.06 : 13,851.49 = 7,153.34 : x
  2. Step 2: Convert to fraction form
    9,243.06/13,851.49 = 7,153.34/x
  3. Step 3: Cross multiply
    9,243.06x = 13,851.49 × 7,153.34
  4. Step 4: Simplify right side
    9,243.06x = 99,084,417.48
  5. Step 5: Solve for x
    x = 99,084,417.48/9,243.06
  6. Step 6: Final answer
    x = 10,719.87

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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.