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Finding the Fourth Proportional to 6,501.45, 9,733.04 and 4,028.31

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Solution

The fourth proportional to 6,501.45, 9,733.04 and 4,028.31 is: 6,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.45 : 9,733.04 = 4,028.31 : x
  2. Step 2: Convert to fraction form
    6,501.45/9,733.04 = 4,028.31/x
  3. Step 3: Cross multiply
    6,501.45x = 9,733.04 × 4,028.31
  4. Step 4: Simplify right side
    6,501.45x = 39,207,682.22
  5. Step 5: Solve for x
    x = 39,207,682.22/6,501.45
  6. Step 6: Final answer
    x = 6,030.61

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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.