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Finding the Fourth Proportional to 10,097.88, 15,090.54 and 9,536.28

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Solution

The fourth proportional to 10,097.88, 15,090.54 and 9,536.28 is: 14,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.88 : 15,090.54 = 9,536.28 : x
  2. Step 2: Convert to fraction form
    10,097.88/15,090.54 = 9,536.28/x
  3. Step 3: Cross multiply
    10,097.88x = 15,090.54 × 9,536.28
  4. Step 4: Simplify right side
    10,097.88x = 143,907,614.79
  5. Step 5: Solve for x
    x = 143,907,614.79/10,097.88
  6. Step 6: Final answer
    x = 14,251.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.