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Finding the Fourth Proportional to 9,643.37, 13,308.64 and 5,394.78

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Solution

The fourth proportional to 9,643.37, 13,308.64 and 5,394.78 is: 7,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.37 : 13,308.64 = 5,394.78 : x
  2. Step 2: Convert to fraction form
    9,643.37/13,308.64 = 5,394.78/x
  3. Step 3: Cross multiply
    9,643.37x = 13,308.64 × 5,394.78
  4. Step 4: Simplify right side
    9,643.37x = 71,797,171.41
  5. Step 5: Solve for x
    x = 71,797,171.41/9,643.37
  6. Step 6: Final answer
    x = 7,445.24

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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.