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Finding the Fourth Proportional to 9,193.36, 13,765.56 and 6,277.36

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Solution

The fourth proportional to 9,193.36, 13,765.56 and 6,277.36 is: 9,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.36 : 13,765.56 = 6,277.36 : x
  2. Step 2: Convert to fraction form
    9,193.36/13,765.56 = 6,277.36/x
  3. Step 3: Cross multiply
    9,193.36x = 13,765.56 × 6,277.36
  4. Step 4: Simplify right side
    9,193.36x = 86,411,375.72
  5. Step 5: Solve for x
    x = 86,411,375.72/9,193.36
  6. Step 6: Final answer
    x = 9,399.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.