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Finding the Fourth Proportional to 9,041.71, 12,464.72 and 6,647.46

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Solution

The fourth proportional to 9,041.71, 12,464.72 and 6,647.46 is: 9,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.71 : 12,464.72 = 6,647.46 : x
  2. Step 2: Convert to fraction form
    9,041.71/12,464.72 = 6,647.46/x
  3. Step 3: Cross multiply
    9,041.71x = 12,464.72 × 6,647.46
  4. Step 4: Simplify right side
    9,041.71x = 82,858,632.05
  5. Step 5: Solve for x
    x = 82,858,632.05/9,041.71
  6. Step 6: Final answer
    x = 9,164.04

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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.