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Finding the Fourth Proportional to 7,010.22, 9,673.86 and 3,866.40

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Solution

The fourth proportional to 7,010.22, 9,673.86 and 3,866.40 is: 5,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.22 : 9,673.86 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    7,010.22/9,673.86 = 3,866.40/x
  3. Step 3: Cross multiply
    7,010.22x = 9,673.86 × 3,866.40
  4. Step 4: Simplify right side
    7,010.22x = 37,403,012.30
  5. Step 5: Solve for x
    x = 37,403,012.30/7,010.22
  6. Step 6: Final answer
    x = 5,335.50

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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.