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Finding the Fourth Proportional to 6,029.06, 9,032.65 and 4,451.69

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Solution

The fourth proportional to 6,029.06, 9,032.65 and 4,451.69 is: 6,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.06 : 9,032.65 = 4,451.69 : x
  2. Step 2: Convert to fraction form
    6,029.06/9,032.65 = 4,451.69/x
  3. Step 3: Cross multiply
    6,029.06x = 9,032.65 × 4,451.69
  4. Step 4: Simplify right side
    6,029.06x = 40,210,512.52
  5. Step 5: Solve for x
    x = 40,210,512.52/6,029.06
  6. Step 6: Final answer
    x = 6,669.45

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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.