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Finding the Fourth Proportional to 9,836.33, 14,750.88 and 3,594.50

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Solution

The fourth proportional to 9,836.33, 14,750.88 and 3,594.50 is: 5,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.33 : 14,750.88 = 3,594.50 : x
  2. Step 2: Convert to fraction form
    9,836.33/14,750.88 = 3,594.50/x
  3. Step 3: Cross multiply
    9,836.33x = 14,750.88 × 3,594.50
  4. Step 4: Simplify right side
    9,836.33x = 53,021,964.41
  5. Step 5: Solve for x
    x = 53,021,964.41/9,836.33
  6. Step 6: Final answer
    x = 5,390.42

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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.