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Finding the Fourth Proportional to 6,029.51, 9,043.23 and 1,645.93

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Solution

The fourth proportional to 6,029.51, 9,043.23 and 1,645.93 is: 2,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.51 : 9,043.23 = 1,645.93 : x
  2. Step 2: Convert to fraction form
    6,029.51/9,043.23 = 1,645.93/x
  3. Step 3: Cross multiply
    6,029.51x = 9,043.23 × 1,645.93
  4. Step 4: Simplify right side
    6,029.51x = 14,884,523.55
  5. Step 5: Solve for x
    x = 14,884,523.55/6,029.51
  6. Step 6: Final answer
    x = 2,468.61

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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.