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Finding the Fourth Proportional to 6,089.45, 9,133.74 and 1,706.76

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Solution

The fourth proportional to 6,089.45, 9,133.74 and 1,706.76 is: 2,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.45 : 9,133.74 = 1,706.76 : x
  2. Step 2: Convert to fraction form
    6,089.45/9,133.74 = 1,706.76/x
  3. Step 3: Cross multiply
    6,089.45x = 9,133.74 × 1,706.76
  4. Step 4: Simplify right side
    6,089.45x = 15,589,102.08
  5. Step 5: Solve for x
    x = 15,589,102.08/6,089.45
  6. Step 6: Final answer
    x = 2,560.02

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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.