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Finding the Fourth Proportional to 9,431.36, 13,014.38 and 5,653.83

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Solution

The fourth proportional to 9,431.36, 13,014.38 and 5,653.83 is: 7,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.36 : 13,014.38 = 5,653.83 : x
  2. Step 2: Convert to fraction form
    9,431.36/13,014.38 = 5,653.83/x
  3. Step 3: Cross multiply
    9,431.36x = 13,014.38 × 5,653.83
  4. Step 4: Simplify right side
    9,431.36x = 73,581,053.16
  5. Step 5: Solve for x
    x = 73,581,053.16/9,431.36
  6. Step 6: Final answer
    x = 7,801.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.