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Finding the Fourth Proportional to 6,415.03, 9,614.68 and 3,644.03

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Solution

The fourth proportional to 6,415.03, 9,614.68 and 3,644.03 is: 5,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.03 : 9,614.68 = 3,644.03 : x
  2. Step 2: Convert to fraction form
    6,415.03/9,614.68 = 3,644.03/x
  3. Step 3: Cross multiply
    6,415.03x = 9,614.68 × 3,644.03
  4. Step 4: Simplify right side
    6,415.03x = 35,036,197.29
  5. Step 5: Solve for x
    x = 35,036,197.29/6,415.03
  6. Step 6: Final answer
    x = 5,461.58

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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.