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Finding the Fourth Proportional to 9,833.70, 14,750.91 and 3,260.46

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Solution

The fourth proportional to 9,833.70, 14,750.91 and 3,260.46 is: 4,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.70 : 14,750.91 = 3,260.46 : x
  2. Step 2: Convert to fraction form
    9,833.70/14,750.91 = 3,260.46/x
  3. Step 3: Cross multiply
    9,833.70x = 14,750.91 × 3,260.46
  4. Step 4: Simplify right side
    9,833.70x = 48,094,752.02
  5. Step 5: Solve for x
    x = 48,094,752.02/9,833.70
  6. Step 6: Final answer
    x = 4,890.81

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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.