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Finding the Fourth Proportional to 6,219.24, 9,328.01 and 1,837.14

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Solution

The fourth proportional to 6,219.24, 9,328.01 and 1,837.14 is: 2,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.24 : 9,328.01 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    6,219.24/9,328.01 = 1,837.14/x
  3. Step 3: Cross multiply
    6,219.24x = 9,328.01 × 1,837.14
  4. Step 4: Simplify right side
    6,219.24x = 17,136,851.11
  5. Step 5: Solve for x
    x = 17,136,851.11/6,219.24
  6. Step 6: Final answer
    x = 2,755.46

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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.