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Finding the Fourth Proportional to 9,765.74, 13,476.66 and 5,289.50

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Solution

The fourth proportional to 9,765.74, 13,476.66 and 5,289.50 is: 7,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.74 : 13,476.66 = 5,289.50 : x
  2. Step 2: Convert to fraction form
    9,765.74/13,476.66 = 5,289.50/x
  3. Step 3: Cross multiply
    9,765.74x = 13,476.66 × 5,289.50
  4. Step 4: Simplify right side
    9,765.74x = 71,284,793.07
  5. Step 5: Solve for x
    x = 71,284,793.07/9,765.74
  6. Step 6: Final answer
    x = 7,299.48

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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.