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Finding the Fourth Proportional to 9,833.34, 14,750.04 and 2,813.34

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Solution

The fourth proportional to 9,833.34, 14,750.04 and 2,813.34 is: 4,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.34 : 14,750.04 = 2,813.34 : x
  2. Step 2: Convert to fraction form
    9,833.34/14,750.04 = 2,813.34/x
  3. Step 3: Cross multiply
    9,833.34x = 14,750.04 × 2,813.34
  4. Step 4: Simplify right side
    9,833.34x = 41,496,877.53
  5. Step 5: Solve for x
    x = 41,496,877.53/9,833.34
  6. Step 6: Final answer
    x = 4,220.02

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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.