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Finding the Fourth Proportional to 9,597.93, 13,245.37 and 5,349.43

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Solution

The fourth proportional to 9,597.93, 13,245.37 and 5,349.43 is: 7,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.93 : 13,245.37 = 5,349.43 : x
  2. Step 2: Convert to fraction form
    9,597.93/13,245.37 = 5,349.43/x
  3. Step 3: Cross multiply
    9,597.93x = 13,245.37 × 5,349.43
  4. Step 4: Simplify right side
    9,597.93x = 70,855,152.89
  5. Step 5: Solve for x
    x = 70,855,152.89/9,597.93
  6. Step 6: Final answer
    x = 7,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.