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Finding the Fourth Proportional to 6,986.66, 9,643.64 and 4,156.02

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Solution

The fourth proportional to 6,986.66, 9,643.64 and 4,156.02 is: 5,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.66 : 9,643.64 = 4,156.02 : x
  2. Step 2: Convert to fraction form
    6,986.66/9,643.64 = 4,156.02/x
  3. Step 3: Cross multiply
    6,986.66x = 9,643.64 × 4,156.02
  4. Step 4: Simplify right side
    6,986.66x = 40,079,139.93
  5. Step 5: Solve for x
    x = 40,079,139.93/6,986.66
  6. Step 6: Final answer
    x = 5,736.53

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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.