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Finding the Fourth Proportional to 9,799.70, 13,525.92 and 6,025.30

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Solution

The fourth proportional to 9,799.70, 13,525.92 and 6,025.30 is: 8,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.70 : 13,525.92 = 6,025.30 : x
  2. Step 2: Convert to fraction form
    9,799.70/13,525.92 = 6,025.30/x
  3. Step 3: Cross multiply
    9,799.70x = 13,525.92 × 6,025.30
  4. Step 4: Simplify right side
    9,799.70x = 81,497,725.78
  5. Step 5: Solve for x
    x = 81,497,725.78/9,799.70
  6. Step 6: Final answer
    x = 8,316.35

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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.