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Finding the Fourth Proportional to 7,010.32, 9,673.68 and 3,866.08

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Solution

The fourth proportional to 7,010.32, 9,673.68 and 3,866.08 is: 5,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.32 : 9,673.68 = 3,866.08 : x
  2. Step 2: Convert to fraction form
    7,010.32/9,673.68 = 3,866.08/x
  3. Step 3: Cross multiply
    7,010.32x = 9,673.68 × 3,866.08
  4. Step 4: Simplify right side
    7,010.32x = 37,399,220.77
  5. Step 5: Solve for x
    x = 37,399,220.77/7,010.32
  6. Step 6: Final answer
    x = 5,334.88

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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.