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Finding the Fourth Proportional to 9,971.45, 13,751.01 and 6,562.37

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Solution

The fourth proportional to 9,971.45, 13,751.01 and 6,562.37 is: 9,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.45 : 13,751.01 = 6,562.37 : x
  2. Step 2: Convert to fraction form
    9,971.45/13,751.01 = 6,562.37/x
  3. Step 3: Cross multiply
    9,971.45x = 13,751.01 × 6,562.37
  4. Step 4: Simplify right side
    9,971.45x = 90,239,146.74
  5. Step 5: Solve for x
    x = 90,239,146.74/9,971.45
  6. Step 6: Final answer
    x = 9,049.75

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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.