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Finding the Fourth Proportional to 6,598.42, 9,106.16 and 3,614.56

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Solution

The fourth proportional to 6,598.42, 9,106.16 and 3,614.56 is: 4,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.42 : 9,106.16 = 3,614.56 : x
  2. Step 2: Convert to fraction form
    6,598.42/9,106.16 = 3,614.56/x
  3. Step 3: Cross multiply
    6,598.42x = 9,106.16 × 3,614.56
  4. Step 4: Simplify right side
    6,598.42x = 32,914,720.85
  5. Step 5: Solve for x
    x = 32,914,720.85/6,598.42
  6. Step 6: Final answer
    x = 4,988.27

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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.