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Finding the Fourth Proportional to 9,799.05, 13,522.64 and 5,322.77

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Solution

The fourth proportional to 9,799.05, 13,522.64 and 5,322.77 is: 7,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.05 : 13,522.64 = 5,322.77 : x
  2. Step 2: Convert to fraction form
    9,799.05/13,522.64 = 5,322.77/x
  3. Step 3: Cross multiply
    9,799.05x = 13,522.64 × 5,322.77
  4. Step 4: Simplify right side
    9,799.05x = 71,977,808.29
  5. Step 5: Solve for x
    x = 71,977,808.29/9,799.05
  6. Step 6: Final answer
    x = 7,345.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.