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Finding the Fourth Proportional to 9,765.81, 14,650.28 and 4,220.84

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Solution

The fourth proportional to 9,765.81, 14,650.28 and 4,220.84 is: 6,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.81 : 14,650.28 = 4,220.84 : x
  2. Step 2: Convert to fraction form
    9,765.81/14,650.28 = 4,220.84/x
  3. Step 3: Cross multiply
    9,765.81x = 14,650.28 × 4,220.84
  4. Step 4: Simplify right side
    9,765.81x = 61,836,393.48
  5. Step 5: Solve for x
    x = 61,836,393.48/9,765.81
  6. Step 6: Final answer
    x = 6,331.93

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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.