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Finding the Fourth Proportional to 6,932.64, 9,564.92 and 4,804.88

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Solution

The fourth proportional to 6,932.64, 9,564.92 and 4,804.88 is: 6,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.64 : 9,564.92 = 4,804.88 : x
  2. Step 2: Convert to fraction form
    6,932.64/9,564.92 = 4,804.88/x
  3. Step 3: Cross multiply
    6,932.64x = 9,564.92 × 4,804.88
  4. Step 4: Simplify right side
    6,932.64x = 45,958,292.81
  5. Step 5: Solve for x
    x = 45,958,292.81/6,932.64
  6. Step 6: Final answer
    x = 6,629.26

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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.