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Finding the Fourth Proportional to 9,122.68, 13,674.48 and 5,168.98

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Solution

The fourth proportional to 9,122.68, 13,674.48 and 5,168.98 is: 7,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.68 : 13,674.48 = 5,168.98 : x
  2. Step 2: Convert to fraction form
    9,122.68/13,674.48 = 5,168.98/x
  3. Step 3: Cross multiply
    9,122.68x = 13,674.48 × 5,168.98
  4. Step 4: Simplify right side
    9,122.68x = 70,683,113.63
  5. Step 5: Solve for x
    x = 70,683,113.63/9,122.68
  6. Step 6: Final answer
    x = 7,748.06

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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.