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Finding the Fourth Proportional to 6,415.15, 9,624.43 and 2,032.60

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Solution

The fourth proportional to 6,415.15, 9,624.43 and 2,032.60 is: 3,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.15 : 9,624.43 = 2,032.60 : x
  2. Step 2: Convert to fraction form
    6,415.15/9,624.43 = 2,032.60/x
  3. Step 3: Cross multiply
    6,415.15x = 9,624.43 × 2,032.60
  4. Step 4: Simplify right side
    6,415.15x = 19,562,616.42
  5. Step 5: Solve for x
    x = 19,562,616.42/6,415.15
  6. Step 6: Final answer
    x = 3,049.44

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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.