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Finding the Fourth Proportional to 6,741.42, 9,303.32 and 3,716.66

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Solution

The fourth proportional to 6,741.42, 9,303.32 and 3,716.66 is: 5,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.42 : 9,303.32 = 3,716.66 : x
  2. Step 2: Convert to fraction form
    6,741.42/9,303.32 = 3,716.66/x
  3. Step 3: Cross multiply
    6,741.42x = 9,303.32 × 3,716.66
  4. Step 4: Simplify right side
    6,741.42x = 34,577,277.31
  5. Step 5: Solve for x
    x = 34,577,277.31/6,741.42
  6. Step 6: Final answer
    x = 5,129.08

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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.