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Finding the Fourth Proportional to 6,954.89, 9,597.35 and 3,810.53

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Solution

The fourth proportional to 6,954.89, 9,597.35 and 3,810.53 is: 5,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.89 : 9,597.35 = 3,810.53 : x
  2. Step 2: Convert to fraction form
    6,954.89/9,597.35 = 3,810.53/x
  3. Step 3: Cross multiply
    6,954.89x = 9,597.35 × 3,810.53
  4. Step 4: Simplify right side
    6,954.89x = 36,570,971.04
  5. Step 5: Solve for x
    x = 36,570,971.04/6,954.89
  6. Step 6: Final answer
    x = 5,258.31

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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.