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Finding the Fourth Proportional to 6,133.95, 9,200.94 and 1,751.43

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Solution

The fourth proportional to 6,133.95, 9,200.94 and 1,751.43 is: 2,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.95 : 9,200.94 = 1,751.43 : x
  2. Step 2: Convert to fraction form
    6,133.95/9,200.94 = 1,751.43/x
  3. Step 3: Cross multiply
    6,133.95x = 9,200.94 × 1,751.43
  4. Step 4: Simplify right side
    6,133.95x = 16,114,802.34
  5. Step 5: Solve for x
    x = 16,114,802.34/6,133.95
  6. Step 6: Final answer
    x = 2,627.15

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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.