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Finding the Fourth Proportional to 6,144.04, 9,216.06 and 2,196.10

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Solution

The fourth proportional to 6,144.04, 9,216.06 and 2,196.10 is: 3,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.04 : 9,216.06 = 2,196.10 : x
  2. Step 2: Convert to fraction form
    6,144.04/9,216.06 = 2,196.10/x
  3. Step 3: Cross multiply
    6,144.04x = 9,216.06 × 2,196.10
  4. Step 4: Simplify right side
    6,144.04x = 20,239,389.37
  5. Step 5: Solve for x
    x = 20,239,389.37/6,144.04
  6. Step 6: Final answer
    x = 3,294.15

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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.