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Finding the Fourth Proportional to 9,573.64, 13,212.81 and 5,381.89

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Solution

The fourth proportional to 9,573.64, 13,212.81 and 5,381.89 is: 7,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.64 : 13,212.81 = 5,381.89 : x
  2. Step 2: Convert to fraction form
    9,573.64/13,212.81 = 5,381.89/x
  3. Step 3: Cross multiply
    9,573.64x = 13,212.81 × 5,381.89
  4. Step 4: Simplify right side
    9,573.64x = 71,109,890.01
  5. Step 5: Solve for x
    x = 71,109,890.01/9,573.64
  6. Step 6: Final answer
    x = 7,427.68

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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.