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Finding the Fourth Proportional to 9,630.86, 13,289.18 and 5,651.06

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Solution

The fourth proportional to 9,630.86, 13,289.18 and 5,651.06 is: 7,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.86 : 13,289.18 = 5,651.06 : x
  2. Step 2: Convert to fraction form
    9,630.86/13,289.18 = 5,651.06/x
  3. Step 3: Cross multiply
    9,630.86x = 13,289.18 × 5,651.06
  4. Step 4: Simplify right side
    9,630.86x = 75,097,953.53
  5. Step 5: Solve for x
    x = 75,097,953.53/9,630.86
  6. Step 6: Final answer
    x = 7,797.64

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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.