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Finding the Fourth Proportional to 6,740.90, 9,302.64 and 3,756.98

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Solution

The fourth proportional to 6,740.90, 9,302.64 and 3,756.98 is: 5,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.90 : 9,302.64 = 3,756.98 : x
  2. Step 2: Convert to fraction form
    6,740.90/9,302.64 = 3,756.98/x
  3. Step 3: Cross multiply
    6,740.90x = 9,302.64 × 3,756.98
  4. Step 4: Simplify right side
    6,740.90x = 34,949,832.43
  5. Step 5: Solve for x
    x = 34,949,832.43/6,740.90
  6. Step 6: Final answer
    x = 5,184.74

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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.