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Finding the Fourth Proportional to 9,741.33, 13,443.17 and 5,762.34

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Solution

The fourth proportional to 9,741.33, 13,443.17 and 5,762.34 is: 7,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.33 : 13,443.17 = 5,762.34 : x
  2. Step 2: Convert to fraction form
    9,741.33/13,443.17 = 5,762.34/x
  3. Step 3: Cross multiply
    9,741.33x = 13,443.17 × 5,762.34
  4. Step 4: Simplify right side
    9,741.33x = 77,464,087.41
  5. Step 5: Solve for x
    x = 77,464,087.41/9,741.33
  6. Step 6: Final answer
    x = 7,952.11

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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.