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Finding the Fourth Proportional to 6,955.34, 9,599.16 and 3,971.60

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Solution

The fourth proportional to 6,955.34, 9,599.16 and 3,971.60 is: 5,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.34 : 9,599.16 = 3,971.60 : x
  2. Step 2: Convert to fraction form
    6,955.34/9,599.16 = 3,971.60/x
  3. Step 3: Cross multiply
    6,955.34x = 9,599.16 × 3,971.60
  4. Step 4: Simplify right side
    6,955.34x = 38,124,023.86
  5. Step 5: Solve for x
    x = 38,124,023.86/6,955.34
  6. Step 6: Final answer
    x = 5,481.26

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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.