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Finding the Fourth Proportional to 9,971.16, 14,936.82 and 9,154.68

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Solution

The fourth proportional to 9,971.16, 14,936.82 and 9,154.68 is: 13,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.16 : 14,936.82 = 9,154.68 : x
  2. Step 2: Convert to fraction form
    9,971.16/14,936.82 = 9,154.68/x
  3. Step 3: Cross multiply
    9,971.16x = 14,936.82 × 9,154.68
  4. Step 4: Simplify right side
    9,971.16x = 136,741,807.32
  5. Step 5: Solve for x
    x = 136,741,807.32/9,971.16
  6. Step 6: Final answer
    x = 13,713.73

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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.