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Finding the Fourth Proportional to 6,986.44, 9,645.40 and 4,335.31

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Solution

The fourth proportional to 6,986.44, 9,645.40 and 4,335.31 is: 5,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.44 : 9,645.40 = 4,335.31 : x
  2. Step 2: Convert to fraction form
    6,986.44/9,645.40 = 4,335.31/x
  3. Step 3: Cross multiply
    6,986.44x = 9,645.40 × 4,335.31
  4. Step 4: Simplify right side
    6,986.44x = 41,815,792.16
  5. Step 5: Solve for x
    x = 41,815,792.16/6,986.44
  6. Step 6: Final answer
    x = 5,985.28

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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.