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Finding the Fourth Proportional to 9,410.40, 12,986.54 and 5,633.73

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Solution

The fourth proportional to 9,410.40, 12,986.54 and 5,633.73 is: 7,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.40 : 12,986.54 = 5,633.73 : x
  2. Step 2: Convert to fraction form
    9,410.40/12,986.54 = 5,633.73/x
  3. Step 3: Cross multiply
    9,410.40x = 12,986.54 × 5,633.73
  4. Step 4: Simplify right side
    9,410.40x = 73,162,631.83
  5. Step 5: Solve for x
    x = 73,162,631.83/9,410.40
  6. Step 6: Final answer
    x = 7,774.66

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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.