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Finding the Fourth Proportional to 9,765.49, 13,476.34 and 5,289.22

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Solution

The fourth proportional to 9,765.49, 13,476.34 and 5,289.22 is: 7,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.49 : 13,476.34 = 5,289.22 : x
  2. Step 2: Convert to fraction form
    9,765.49/13,476.34 = 5,289.22/x
  3. Step 3: Cross multiply
    9,765.49x = 13,476.34 × 5,289.22
  4. Step 4: Simplify right side
    9,765.49x = 71,279,327.05
  5. Step 5: Solve for x
    x = 71,279,327.05/9,765.49
  6. Step 6: Final answer
    x = 7,299.10

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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.