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Finding the Fourth Proportional to 6,666.53, 9,201.59 and 4,147.21

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Solution

The fourth proportional to 6,666.53, 9,201.59 and 4,147.21 is: 5,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.53 : 9,201.59 = 4,147.21 : x
  2. Step 2: Convert to fraction form
    6,666.53/9,201.59 = 4,147.21/x
  3. Step 3: Cross multiply
    6,666.53x = 9,201.59 × 4,147.21
  4. Step 4: Simplify right side
    6,666.53x = 38,160,913.43
  5. Step 5: Solve for x
    x = 38,160,913.43/6,666.53
  6. Step 6: Final answer
    x = 5,724.25

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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.