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Finding the Fourth Proportional to 9,674.12, 13,349.46 and 6,534.56

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Solution

The fourth proportional to 9,674.12, 13,349.46 and 6,534.56 is: 9,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.12 : 13,349.46 = 6,534.56 : x
  2. Step 2: Convert to fraction form
    9,674.12/13,349.46 = 6,534.56/x
  3. Step 3: Cross multiply
    9,674.12x = 13,349.46 × 6,534.56
  4. Step 4: Simplify right side
    9,674.12x = 87,232,847.34
  5. Step 5: Solve for x
    x = 87,232,847.34/9,674.12
  6. Step 6: Final answer
    x = 9,017.14

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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.