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Finding the Fourth Proportional to 9,967.12, 13,751.58 and 5,774.56

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Solution

The fourth proportional to 9,967.12, 13,751.58 and 5,774.56 is: 7,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.12 : 13,751.58 = 5,774.56 : x
  2. Step 2: Convert to fraction form
    9,967.12/13,751.58 = 5,774.56/x
  3. Step 3: Cross multiply
    9,967.12x = 13,751.58 × 5,774.56
  4. Step 4: Simplify right side
    9,967.12x = 79,409,323.80
  5. Step 5: Solve for x
    x = 79,409,323.80/9,967.12
  6. Step 6: Final answer
    x = 7,967.13

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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.