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Finding the Fourth Proportional to 6,877.36, 9,491.32 and 5,756.32

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Solution

The fourth proportional to 6,877.36, 9,491.32 and 5,756.32 is: 7,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.36 : 9,491.32 = 5,756.32 : x
  2. Step 2: Convert to fraction form
    6,877.36/9,491.32 = 5,756.32/x
  3. Step 3: Cross multiply
    6,877.36x = 9,491.32 × 5,756.32
  4. Step 4: Simplify right side
    6,877.36x = 54,635,075.14
  5. Step 5: Solve for x
    x = 54,635,075.14/6,877.36
  6. Step 6: Final answer
    x = 7,944.19

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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.