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Finding the Fourth Proportional to 9,465.02, 14,193.09 and 3,223.34

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Solution

The fourth proportional to 9,465.02, 14,193.09 and 3,223.34 is: 4,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.02 : 14,193.09 = 3,223.34 : x
  2. Step 2: Convert to fraction form
    9,465.02/14,193.09 = 3,223.34/x
  3. Step 3: Cross multiply
    9,465.02x = 14,193.09 × 3,223.34
  4. Step 4: Simplify right side
    9,465.02x = 45,749,083.76
  5. Step 5: Solve for x
    x = 45,749,083.76/9,465.02
  6. Step 6: Final answer
    x = 4,833.49

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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.