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Finding the Fourth Proportional to 9,407.60, 14,113.01 and 2,833.23

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Solution

The fourth proportional to 9,407.60, 14,113.01 and 2,833.23 is: 4,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.60 : 14,113.01 = 2,833.23 : x
  2. Step 2: Convert to fraction form
    9,407.60/14,113.01 = 2,833.23/x
  3. Step 3: Cross multiply
    9,407.60x = 14,113.01 × 2,833.23
  4. Step 4: Simplify right side
    9,407.60x = 39,985,410.41
  5. Step 5: Solve for x
    x = 39,985,410.41/9,407.60
  6. Step 6: Final answer
    x = 4,250.33

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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.