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Finding the Fourth Proportional to 9,195.40, 13,793.10 and 5,307.40

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Solution

The fourth proportional to 9,195.40, 13,793.10 and 5,307.40 is: 7,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.40 : 13,793.10 = 5,307.40 : x
  2. Step 2: Convert to fraction form
    9,195.40/13,793.10 = 5,307.40/x
  3. Step 3: Cross multiply
    9,195.40x = 13,793.10 × 5,307.40
  4. Step 4: Simplify right side
    9,195.40x = 73,205,498.94
  5. Step 5: Solve for x
    x = 73,205,498.94/9,195.40
  6. Step 6: Final answer
    x = 7,961.10

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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.