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Finding the Fourth Proportional to 6,916.64, 9,546.76 and 4,266.22

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Solution

The fourth proportional to 6,916.64, 9,546.76 and 4,266.22 is: 5,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.64 : 9,546.76 = 4,266.22 : x
  2. Step 2: Convert to fraction form
    6,916.64/9,546.76 = 4,266.22/x
  3. Step 3: Cross multiply
    6,916.64x = 9,546.76 × 4,266.22
  4. Step 4: Simplify right side
    6,916.64x = 40,728,578.45
  5. Step 5: Solve for x
    x = 40,728,578.45/6,916.64
  6. Step 6: Final answer
    x = 5,888.49

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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.