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Finding the Fourth Proportional to 6,547.22, 9,035.09 and 3,563.03

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Solution

The fourth proportional to 6,547.22, 9,035.09 and 3,563.03 is: 4,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.22 : 9,035.09 = 3,563.03 : x
  2. Step 2: Convert to fraction form
    6,547.22/9,035.09 = 3,563.03/x
  3. Step 3: Cross multiply
    6,547.22x = 9,035.09 × 3,563.03
  4. Step 4: Simplify right side
    6,547.22x = 32,192,233.73
  5. Step 5: Solve for x
    x = 32,192,233.73/6,547.22
  6. Step 6: Final answer
    x = 4,916.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.