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Finding the Fourth Proportional to 9,970.95, 14,956.77 and 3,396.27

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Solution

The fourth proportional to 9,970.95, 14,956.77 and 3,396.27 is: 5,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.95 : 14,956.77 = 3,396.27 : x
  2. Step 2: Convert to fraction form
    9,970.95/14,956.77 = 3,396.27/x
  3. Step 3: Cross multiply
    9,970.95x = 14,956.77 × 3,396.27
  4. Step 4: Simplify right side
    9,970.95x = 50,797,229.25
  5. Step 5: Solve for x
    x = 50,797,229.25/9,970.95
  6. Step 6: Final answer
    x = 5,094.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.