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Finding the Fourth Proportional to 9,733.03, 13,431.43 and 5,484.47

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Solution

The fourth proportional to 9,733.03, 13,431.43 and 5,484.47 is: 7,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.03 : 13,431.43 = 5,484.47 : x
  2. Step 2: Convert to fraction form
    9,733.03/13,431.43 = 5,484.47/x
  3. Step 3: Cross multiply
    9,733.03x = 13,431.43 × 5,484.47
  4. Step 4: Simplify right side
    9,733.03x = 73,664,282.04
  5. Step 5: Solve for x
    x = 73,664,282.04/9,733.03
  6. Step 6: Final answer
    x = 7,568.48

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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.