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Finding the Fourth Proportional to 9,493.47, 13,100.97 and 5,301.72

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Solution

The fourth proportional to 9,493.47, 13,100.97 and 5,301.72 is: 7,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.47 : 13,100.97 = 5,301.72 : x
  2. Step 2: Convert to fraction form
    9,493.47/13,100.97 = 5,301.72/x
  3. Step 3: Cross multiply
    9,493.47x = 13,100.97 × 5,301.72
  4. Step 4: Simplify right side
    9,493.47x = 69,457,694.55
  5. Step 5: Solve for x
    x = 69,457,694.55/9,493.47
  6. Step 6: Final answer
    x = 7,316.37

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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.