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Finding the Fourth Proportional to 6,133.35, 9,200.12 and 1,516.35

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Solution

The fourth proportional to 6,133.35, 9,200.12 and 1,516.35 is: 2,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.35 : 9,200.12 = 1,516.35 : x
  2. Step 2: Convert to fraction form
    6,133.35/9,200.12 = 1,516.35/x
  3. Step 3: Cross multiply
    6,133.35x = 9,200.12 × 1,516.35
  4. Step 4: Simplify right side
    6,133.35x = 13,950,594.38
  5. Step 5: Solve for x
    x = 13,950,594.38/6,133.35
  6. Step 6: Final answer
    x = 2,274.55

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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.