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Finding the Fourth Proportional to 9,799.43, 13,526.15 and 7,809.26

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Solution

The fourth proportional to 9,799.43, 13,526.15 and 7,809.26 is: 10,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.43 : 13,526.15 = 7,809.26 : x
  2. Step 2: Convert to fraction form
    9,799.43/13,526.15 = 7,809.26/x
  3. Step 3: Cross multiply
    9,799.43x = 13,526.15 × 7,809.26
  4. Step 4: Simplify right side
    9,799.43x = 105,629,115.47
  5. Step 5: Solve for x
    x = 105,629,115.47/9,799.43
  6. Step 6: Final answer
    x = 10,779.11

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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.