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Finding the Fourth Proportional to 6,741.34, 9,300.85 and 3,756.61

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Solution

The fourth proportional to 6,741.34, 9,300.85 and 3,756.61 is: 5,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.34 : 9,300.85 = 3,756.61 : x
  2. Step 2: Convert to fraction form
    6,741.34/9,300.85 = 3,756.61/x
  3. Step 3: Cross multiply
    6,741.34x = 9,300.85 × 3,756.61
  4. Step 4: Simplify right side
    6,741.34x = 34,939,666.12
  5. Step 5: Solve for x
    x = 34,939,666.12/6,741.34
  6. Step 6: Final answer
    x = 5,182.90

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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.