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Finding the Fourth Proportional to 6,901.34, 9,522.23 and 3,916.50

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Solution

The fourth proportional to 6,901.34, 9,522.23 and 3,916.50 is: 5,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.34 : 9,522.23 = 3,916.50 : x
  2. Step 2: Convert to fraction form
    6,901.34/9,522.23 = 3,916.50/x
  3. Step 3: Cross multiply
    6,901.34x = 9,522.23 × 3,916.50
  4. Step 4: Simplify right side
    6,901.34x = 37,293,813.80
  5. Step 5: Solve for x
    x = 37,293,813.80/6,901.34
  6. Step 6: Final answer
    x = 5,403.85

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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.