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Finding the Fourth Proportional to 7,010.16, 9,673.92 and 3,866.28

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Solution

The fourth proportional to 7,010.16, 9,673.92 and 3,866.28 is: 5,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.16 : 9,673.92 = 3,866.28 : x
  2. Step 2: Convert to fraction form
    7,010.16/9,673.92 = 3,866.28/x
  3. Step 3: Cross multiply
    7,010.16x = 9,673.92 × 3,866.28
  4. Step 4: Simplify right side
    7,010.16x = 37,402,083.42
  5. Step 5: Solve for x
    x = 37,402,083.42/7,010.16
  6. Step 6: Final answer
    x = 5,335.41

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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.