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Finding the Fourth Proportional to 6,740.60, 9,301.64 and 3,756.68

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Solution

The fourth proportional to 6,740.60, 9,301.64 and 3,756.68 is: 5,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.60 : 9,301.64 = 3,756.68 : x
  2. Step 2: Convert to fraction form
    6,740.60/9,301.64 = 3,756.68/x
  3. Step 3: Cross multiply
    6,740.60x = 9,301.64 × 3,756.68
  4. Step 4: Simplify right side
    6,740.60x = 34,943,284.96
  5. Step 5: Solve for x
    x = 34,943,284.96/6,740.60
  6. Step 6: Final answer
    x = 5,184.00

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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.