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Finding the Fourth Proportional to 9,488.60, 13,103.75 and 7,826.48

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Solution

The fourth proportional to 9,488.60, 13,103.75 and 7,826.48 is: 10,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.60 : 13,103.75 = 7,826.48 : x
  2. Step 2: Convert to fraction form
    9,488.60/13,103.75 = 7,826.48/x
  3. Step 3: Cross multiply
    9,488.60x = 13,103.75 × 7,826.48
  4. Step 4: Simplify right side
    9,488.60x = 102,556,237.30
  5. Step 5: Solve for x
    x = 102,556,237.30/9,488.60
  6. Step 6: Final answer
    x = 10,808.36

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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.