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Finding the Fourth Proportional to 9,196.40, 13,810.80 and 7,121.45

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Solution

The fourth proportional to 9,196.40, 13,810.80 and 7,121.45 is: 10,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.40 : 13,810.80 = 7,121.45 : x
  2. Step 2: Convert to fraction form
    9,196.40/13,810.80 = 7,121.45/x
  3. Step 3: Cross multiply
    9,196.40x = 13,810.80 × 7,121.45
  4. Step 4: Simplify right side
    9,196.40x = 98,352,921.66
  5. Step 5: Solve for x
    x = 98,352,921.66/9,196.40
  6. Step 6: Final answer
    x = 10,694.72

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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.