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Finding the Fourth Proportional to 9,815.71, 13,536.24 and 7,453.75

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Solution

The fourth proportional to 9,815.71, 13,536.24 and 7,453.75 is: 10,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.71 : 13,536.24 = 7,453.75 : x
  2. Step 2: Convert to fraction form
    9,815.71/13,536.24 = 7,453.75/x
  3. Step 3: Cross multiply
    9,815.71x = 13,536.24 × 7,453.75
  4. Step 4: Simplify right side
    9,815.71x = 100,895,748.90
  5. Step 5: Solve for x
    x = 100,895,748.90/9,815.71
  6. Step 6: Final answer
    x = 10,279.01

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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.