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Finding the Fourth Proportional to 7,024.02, 9,693.14 and 4,039.77

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Solution

The fourth proportional to 7,024.02, 9,693.14 and 4,039.77 is: 5,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.02 : 9,693.14 = 4,039.77 : x
  2. Step 2: Convert to fraction form
    7,024.02/9,693.14 = 4,039.77/x
  3. Step 3: Cross multiply
    7,024.02x = 9,693.14 × 4,039.77
  4. Step 4: Simplify right side
    7,024.02x = 39,158,072.33
  5. Step 5: Solve for x
    x = 39,158,072.33/7,024.02
  6. Step 6: Final answer
    x = 5,574.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.