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Finding the Fourth Proportional to 9,645.88, 13,313.82 and 5,455.48

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Solution

The fourth proportional to 9,645.88, 13,313.82 and 5,455.48 is: 7,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.88 : 13,313.82 = 5,455.48 : x
  2. Step 2: Convert to fraction form
    9,645.88/13,313.82 = 5,455.48/x
  3. Step 3: Cross multiply
    9,645.88x = 13,313.82 × 5,455.48
  4. Step 4: Simplify right side
    9,645.88x = 72,633,278.73
  5. Step 5: Solve for x
    x = 72,633,278.73/9,645.88
  6. Step 6: Final answer
    x = 7,529.98

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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.