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Finding the Fourth Proportional to 6,477.26, 8,941.56 and 4,239.24

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Solution

The fourth proportional to 6,477.26, 8,941.56 and 4,239.24 is: 5,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.26 : 8,941.56 = 4,239.24 : x
  2. Step 2: Convert to fraction form
    6,477.26/8,941.56 = 4,239.24/x
  3. Step 3: Cross multiply
    6,477.26x = 8,941.56 × 4,239.24
  4. Step 4: Simplify right side
    6,477.26x = 37,905,418.81
  5. Step 5: Solve for x
    x = 37,905,418.81/6,477.26
  6. Step 6: Final answer
    x = 5,852.08

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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.