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Finding the Fourth Proportional to 9,815.77, 13,536.43 and 7,574.09

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Solution

The fourth proportional to 9,815.77, 13,536.43 and 7,574.09 is: 10,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.77 : 13,536.43 = 7,574.09 : x
  2. Step 2: Convert to fraction form
    9,815.77/13,536.43 = 7,574.09/x
  3. Step 3: Cross multiply
    9,815.77x = 13,536.43 × 7,574.09
  4. Step 4: Simplify right side
    9,815.77x = 102,526,139.10
  5. Step 5: Solve for x
    x = 102,526,139.10/9,815.77
  6. Step 6: Final answer
    x = 10,445.04

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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.