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Finding the Fourth Proportional to 9,632.03, 13,298.74 and 6,237.24

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Solution

The fourth proportional to 9,632.03, 13,298.74 and 6,237.24 is: 8,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.03 : 13,298.74 = 6,237.24 : x
  2. Step 2: Convert to fraction form
    9,632.03/13,298.74 = 6,237.24/x
  3. Step 3: Cross multiply
    9,632.03x = 13,298.74 × 6,237.24
  4. Step 4: Simplify right side
    9,632.03x = 82,947,477.50
  5. Step 5: Solve for x
    x = 82,947,477.50/9,632.03
  6. Step 6: Final answer
    x = 8,611.63

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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.