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Finding the Fourth Proportional to 9,671.21, 14,473.67 and 6,713.01

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Solution

The fourth proportional to 9,671.21, 14,473.67 and 6,713.01 is: 10,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.21 : 14,473.67 = 6,713.01 : x
  2. Step 2: Convert to fraction form
    9,671.21/14,473.67 = 6,713.01/x
  3. Step 3: Cross multiply
    9,671.21x = 14,473.67 × 6,713.01
  4. Step 4: Simplify right side
    9,671.21x = 97,161,857.88
  5. Step 5: Solve for x
    x = 97,161,857.88/9,671.21
  6. Step 6: Final answer
    x = 10,046.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.