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Finding the Fourth Proportional to 9,674.10, 13,351.77 and 7,020.54

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Solution

The fourth proportional to 9,674.10, 13,351.77 and 7,020.54 is: 9,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.10 : 13,351.77 = 7,020.54 : x
  2. Step 2: Convert to fraction form
    9,674.10/13,351.77 = 7,020.54/x
  3. Step 3: Cross multiply
    9,674.10x = 13,351.77 × 7,020.54
  4. Step 4: Simplify right side
    9,674.10x = 93,736,635.36
  5. Step 5: Solve for x
    x = 93,736,635.36/9,674.10
  6. Step 6: Final answer
    x = 9,689.44

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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.