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Finding the Fourth Proportional to 9,696.55, 14,544.01 and 3,851.59

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Solution

The fourth proportional to 9,696.55, 14,544.01 and 3,851.59 is: 5,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.55 : 14,544.01 = 3,851.59 : x
  2. Step 2: Convert to fraction form
    9,696.55/14,544.01 = 3,851.59/x
  3. Step 3: Cross multiply
    9,696.55x = 14,544.01 × 3,851.59
  4. Step 4: Simplify right side
    9,696.55x = 56,017,471.50
  5. Step 5: Solve for x
    x = 56,017,471.50/9,696.55
  6. Step 6: Final answer
    x = 5,777.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.