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Finding the Fourth Proportional to 10,274.54, 15,337.47 and 9,028.98

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Solution

The fourth proportional to 10,274.54, 15,337.47 and 9,028.98 is: 13,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.54 : 15,337.47 = 9,028.98 : x
  2. Step 2: Convert to fraction form
    10,274.54/15,337.47 = 9,028.98/x
  3. Step 3: Cross multiply
    10,274.54x = 15,337.47 × 9,028.98
  4. Step 4: Simplify right side
    10,274.54x = 138,481,709.88
  5. Step 5: Solve for x
    x = 138,481,709.88/10,274.54
  6. Step 6: Final answer
    x = 13,478.15

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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.