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Finding the Fourth Proportional to 6,547.26, 9,035.25 and 3,563.12

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Solution

The fourth proportional to 6,547.26, 9,035.25 and 3,563.12 is: 4,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.26 : 9,035.25 = 3,563.12 : x
  2. Step 2: Convert to fraction form
    6,547.26/9,035.25 = 3,563.12/x
  3. Step 3: Cross multiply
    6,547.26x = 9,035.25 × 3,563.12
  4. Step 4: Simplify right side
    6,547.26x = 32,193,692.70
  5. Step 5: Solve for x
    x = 32,193,692.70/6,547.26
  6. Step 6: Final answer
    x = 4,917.13

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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.