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Finding the Fourth Proportional to 9,632.44, 13,283.76 and 6,089.32

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Solution

The fourth proportional to 9,632.44, 13,283.76 and 6,089.32 is: 8,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.44 : 13,283.76 = 6,089.32 : x
  2. Step 2: Convert to fraction form
    9,632.44/13,283.76 = 6,089.32/x
  3. Step 3: Cross multiply
    9,632.44x = 13,283.76 × 6,089.32
  4. Step 4: Simplify right side
    9,632.44x = 80,889,065.44
  5. Step 5: Solve for x
    x = 80,889,065.44/9,632.44
  6. Step 6: Final answer
    x = 8,397.57

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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.