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Finding the Fourth Proportional to 7,024.66, 9,694.32 and 4,040.50

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Solution

The fourth proportional to 7,024.66, 9,694.32 and 4,040.50 is: 5,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.66 : 9,694.32 = 4,040.50 : x
  2. Step 2: Convert to fraction form
    7,024.66/9,694.32 = 4,040.50/x
  3. Step 3: Cross multiply
    7,024.66x = 9,694.32 × 4,040.50
  4. Step 4: Simplify right side
    7,024.66x = 39,169,851.49
  5. Step 5: Solve for x
    x = 39,169,851.49/7,024.66
  6. Step 6: Final answer
    x = 5,576.05

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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.