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Finding the Fourth Proportional to 9,806.34, 13,519.50 and 6,657.06

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Solution

The fourth proportional to 9,806.34, 13,519.50 and 6,657.06 is: 9,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.34 : 13,519.50 = 6,657.06 : x
  2. Step 2: Convert to fraction form
    9,806.34/13,519.50 = 6,657.06/x
  3. Step 3: Cross multiply
    9,806.34x = 13,519.50 × 6,657.06
  4. Step 4: Simplify right side
    9,806.34x = 90,000,122.67
  5. Step 5: Solve for x
    x = 90,000,122.67/9,806.34
  6. Step 6: Final answer
    x = 9,177.75

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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.