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Finding the Fourth Proportional to 6,948.32, 9,588.84 and 3,804.56

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Solution

The fourth proportional to 6,948.32, 9,588.84 and 3,804.56 is: 5,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.32 : 9,588.84 = 3,804.56 : x
  2. Step 2: Convert to fraction form
    6,948.32/9,588.84 = 3,804.56/x
  3. Step 3: Cross multiply
    6,948.32x = 9,588.84 × 3,804.56
  4. Step 4: Simplify right side
    6,948.32x = 36,481,317.11
  5. Step 5: Solve for x
    x = 36,481,317.11/6,948.32
  6. Step 6: Final answer
    x = 5,250.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.