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Finding the Fourth Proportional to 6,913.17, 9,544.41 and 4,264.20

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Solution

The fourth proportional to 6,913.17, 9,544.41 and 4,264.20 is: 5,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.17 : 9,544.41 = 4,264.20 : x
  2. Step 2: Convert to fraction form
    6,913.17/9,544.41 = 4,264.20/x
  3. Step 3: Cross multiply
    6,913.17x = 9,544.41 × 4,264.20
  4. Step 4: Simplify right side
    6,913.17x = 40,699,273.12
  5. Step 5: Solve for x
    x = 40,699,273.12/6,913.17
  6. Step 6: Final answer
    x = 5,887.21

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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.