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Finding the Fourth Proportional to 6,913.07, 9,538.79 and 3,887.32

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Solution

The fourth proportional to 6,913.07, 9,538.79 and 3,887.32 is: 5,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.07 : 9,538.79 = 3,887.32 : x
  2. Step 2: Convert to fraction form
    6,913.07/9,538.79 = 3,887.32/x
  3. Step 3: Cross multiply
    6,913.07x = 9,538.79 × 3,887.32
  4. Step 4: Simplify right side
    6,913.07x = 37,080,329.14
  5. Step 5: Solve for x
    x = 37,080,329.14/6,913.07
  6. Step 6: Final answer
    x = 5,363.80

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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.