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Finding the Fourth Proportional to 7,010.63, 9,674.63 and 3,866.81

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Solution

The fourth proportional to 7,010.63, 9,674.63 and 3,866.81 is: 5,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.63 : 9,674.63 = 3,866.81 : x
  2. Step 2: Convert to fraction form
    7,010.63/9,674.63 = 3,866.81/x
  3. Step 3: Cross multiply
    7,010.63x = 9,674.63 × 3,866.81
  4. Step 4: Simplify right side
    7,010.63x = 37,409,956.03
  5. Step 5: Solve for x
    x = 37,409,956.03/7,010.63
  6. Step 6: Final answer
    x = 5,336.18

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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.