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Finding the Fourth Proportional to 9,597.27, 13,245.04 and 5,406.33

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Solution

The fourth proportional to 9,597.27, 13,245.04 and 5,406.33 is: 7,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.27 : 13,245.04 = 5,406.33 : x
  2. Step 2: Convert to fraction form
    9,597.27/13,245.04 = 5,406.33/x
  3. Step 3: Cross multiply
    9,597.27x = 13,245.04 × 5,406.33
  4. Step 4: Simplify right side
    9,597.27x = 71,607,057.10
  5. Step 5: Solve for x
    x = 71,607,057.10/9,597.27
  6. Step 6: Final answer
    x = 7,461.19

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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.