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Finding the Fourth Proportional to 9,653.25, 13,322.31 and 5,462.31

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Solution

The fourth proportional to 9,653.25, 13,322.31 and 5,462.31 is: 7,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.25 : 13,322.31 = 5,462.31 : x
  2. Step 2: Convert to fraction form
    9,653.25/13,322.31 = 5,462.31/x
  3. Step 3: Cross multiply
    9,653.25x = 13,322.31 × 5,462.31
  4. Step 4: Simplify right side
    9,653.25x = 72,770,587.14
  5. Step 5: Solve for x
    x = 72,770,587.14/9,653.25
  6. Step 6: Final answer
    x = 7,538.45

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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.