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Finding the Fourth Proportional to 9,632.16, 13,296.64 and 6,450.48

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Solution

The fourth proportional to 9,632.16, 13,296.64 and 6,450.48 is: 8,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.16 : 13,296.64 = 6,450.48 : x
  2. Step 2: Convert to fraction form
    9,632.16/13,296.64 = 6,450.48/x
  3. Step 3: Cross multiply
    9,632.16x = 13,296.64 × 6,450.48
  4. Step 4: Simplify right side
    9,632.16x = 85,769,710.39
  5. Step 5: Solve for x
    x = 85,769,710.39/9,632.16
  6. Step 6: Final answer
    x = 8,904.51

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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.