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Finding the Fourth Proportional to 9,771.36, 13,484.44 and 5,295.22

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Solution

The fourth proportional to 9,771.36, 13,484.44 and 5,295.22 is: 7,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.36 : 13,484.44 = 5,295.22 : x
  2. Step 2: Convert to fraction form
    9,771.36/13,484.44 = 5,295.22/x
  3. Step 3: Cross multiply
    9,771.36x = 13,484.44 × 5,295.22
  4. Step 4: Simplify right side
    9,771.36x = 71,403,076.38
  5. Step 5: Solve for x
    x = 71,403,076.38/9,771.36
  6. Step 6: Final answer
    x = 7,307.38

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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.