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Finding the Fourth Proportional to 6,900.34, 9,520.85 and 3,915.50

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Solution

The fourth proportional to 6,900.34, 9,520.85 and 3,915.50 is: 5,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.34 : 9,520.85 = 3,915.50 : x
  2. Step 2: Convert to fraction form
    6,900.34/9,520.85 = 3,915.50/x
  3. Step 3: Cross multiply
    6,900.34x = 9,520.85 × 3,915.50
  4. Step 4: Simplify right side
    6,900.34x = 37,278,888.18
  5. Step 5: Solve for x
    x = 37,278,888.18/6,900.34
  6. Step 6: Final answer
    x = 5,402.47

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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.