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Finding the Fourth Proportional to 9,733.76, 13,433.28 and 6,008

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Solution

The fourth proportional to 9,733.76, 13,433.28 and 6,008 is: 8,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.76 : 13,433.28 = 6,008 : x
  2. Step 2: Convert to fraction form
    9,733.76/13,433.28 = 6,008/x
  3. Step 3: Cross multiply
    9,733.76x = 13,433.28 × 6,008
  4. Step 4: Simplify right side
    9,733.76x = 80,707,146.24
  5. Step 5: Solve for x
    x = 80,707,146.24/9,733.76
  6. Step 6: Final answer
    x = 8,291.47

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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.