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Finding the Fourth Proportional to 9,835.52, 14,750.40 and 8,099.84

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Solution

The fourth proportional to 9,835.52, 14,750.40 and 8,099.84 is: 12,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.52 : 14,750.40 = 8,099.84 : x
  2. Step 2: Convert to fraction form
    9,835.52/14,750.40 = 8,099.84/x
  3. Step 3: Cross multiply
    9,835.52x = 14,750.40 × 8,099.84
  4. Step 4: Simplify right side
    9,835.52x = 119,475,879.94
  5. Step 5: Solve for x
    x = 119,475,879.94/9,835.52
  6. Step 6: Final answer
    x = 12,147.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.