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Finding the Fourth Proportional to 9,365, 12,923.70 and 5,173.88

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Solution

The fourth proportional to 9,365, 12,923.70 and 5,173.88 is: 7,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365 : 12,923.70 = 5,173.88 : x
  2. Step 2: Convert to fraction form
    9,365/12,923.70 = 5,173.88/x
  3. Step 3: Cross multiply
    9,365x = 12,923.70 × 5,173.88
  4. Step 4: Simplify right side
    9,365x = 66,865,672.96
  5. Step 5: Solve for x
    x = 66,865,672.96/9,365
  6. Step 6: Final answer
    x = 7,139.95

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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.