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Finding the Fourth Proportional to 9,633.24, 13,304.84 and 6,483.96

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Solution

The fourth proportional to 9,633.24, 13,304.84 and 6,483.96 is: 8,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.24 : 13,304.84 = 6,483.96 : x
  2. Step 2: Convert to fraction form
    9,633.24/13,304.84 = 6,483.96/x
  3. Step 3: Cross multiply
    9,633.24x = 13,304.84 × 6,483.96
  4. Step 4: Simplify right side
    9,633.24x = 86,268,050.37
  5. Step 5: Solve for x
    x = 86,268,050.37/9,633.24
  6. Step 6: Final answer
    x = 8,955.25

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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.