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Finding the Fourth Proportional to 9,363, 12,921 and 5,171.40

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Solution

The fourth proportional to 9,363, 12,921 and 5,171.40 is: 7,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363 : 12,921 = 5,171.40 : x
  2. Step 2: Convert to fraction form
    9,363/12,921 = 5,171.40/x
  3. Step 3: Cross multiply
    9,363x = 12,921 × 5,171.40
  4. Step 4: Simplify right side
    9,363x = 66,819,659.40
  5. Step 5: Solve for x
    x = 66,819,659.40/9,363
  6. Step 6: Final answer
    x = 7,136.57

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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.