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Finding the Fourth Proportional to 9,798.50, 13,512.72 and 7,556.83

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Solution

The fourth proportional to 9,798.50, 13,512.72 and 7,556.83 is: 10,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.50 : 13,512.72 = 7,556.83 : x
  2. Step 2: Convert to fraction form
    9,798.50/13,512.72 = 7,556.83/x
  3. Step 3: Cross multiply
    9,798.50x = 13,512.72 × 7,556.83
  4. Step 4: Simplify right side
    9,798.50x = 102,113,322.43
  5. Step 5: Solve for x
    x = 102,113,322.43/9,798.50
  6. Step 6: Final answer
    x = 10,421.32

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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.