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Finding the Fourth Proportional to 9,389.40, 12,955.50 and 5,196.84

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Solution

The fourth proportional to 9,389.40, 12,955.50 and 5,196.84 is: 7,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.40 : 12,955.50 = 5,196.84 : x
  2. Step 2: Convert to fraction form
    9,389.40/12,955.50 = 5,196.84/x
  3. Step 3: Cross multiply
    9,389.40x = 12,955.50 × 5,196.84
  4. Step 4: Simplify right side
    9,389.40x = 67,327,660.62
  5. Step 5: Solve for x
    x = 67,327,660.62/9,389.40
  6. Step 6: Final answer
    x = 7,170.60

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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.