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Finding the Fourth Proportional to 9,632.06, 13,298.62 and 6,449.44

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Solution

The fourth proportional to 9,632.06, 13,298.62 and 6,449.44 is: 8,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.06 : 13,298.62 = 6,449.44 : x
  2. Step 2: Convert to fraction form
    9,632.06/13,298.62 = 6,449.44/x
  3. Step 3: Cross multiply
    9,632.06x = 13,298.62 × 6,449.44
  4. Step 4: Simplify right side
    9,632.06x = 85,768,651.77
  5. Step 5: Solve for x
    x = 85,768,651.77/9,632.06
  6. Step 6: Final answer
    x = 8,904.50

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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.