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Finding the Fourth Proportional to 6,376.04, 9,564.05 and 2,216.05

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Solution

The fourth proportional to 6,376.04, 9,564.05 and 2,216.05 is: 3,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.04 : 9,564.05 = 2,216.05 : x
  2. Step 2: Convert to fraction form
    6,376.04/9,564.05 = 2,216.05/x
  3. Step 3: Cross multiply
    6,376.04x = 9,564.05 × 2,216.05
  4. Step 4: Simplify right side
    6,376.04x = 21,194,386.32
  5. Step 5: Solve for x
    x = 21,194,386.32/6,376.04
  6. Step 6: Final answer
    x = 3,324.07

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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.