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Finding the Fourth Proportional to 9,857.55, 13,609.56 and 6,274.53

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Solution

The fourth proportional to 9,857.55, 13,609.56 and 6,274.53 is: 8,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.55 : 13,609.56 = 6,274.53 : x
  2. Step 2: Convert to fraction form
    9,857.55/13,609.56 = 6,274.53/x
  3. Step 3: Cross multiply
    9,857.55x = 13,609.56 × 6,274.53
  4. Step 4: Simplify right side
    9,857.55x = 85,393,592.51
  5. Step 5: Solve for x
    x = 85,393,592.51/9,857.55
  6. Step 6: Final answer
    x = 8,662.76

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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.