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Finding the Fourth Proportional to 6,665.55, 9,200.30 and 4,146.16

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Solution

The fourth proportional to 6,665.55, 9,200.30 and 4,146.16 is: 5,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.55 : 9,200.30 = 4,146.16 : x
  2. Step 2: Convert to fraction form
    6,665.55/9,200.30 = 4,146.16/x
  3. Step 3: Cross multiply
    6,665.55x = 9,200.30 × 4,146.16
  4. Step 4: Simplify right side
    6,665.55x = 38,145,895.12
  5. Step 5: Solve for x
    x = 38,145,895.12/6,665.55
  6. Step 6: Final answer
    x = 5,722.84

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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.