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Finding the Fourth Proportional to 10,276.44, 15,421.92 and 9,285

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Solution

The fourth proportional to 10,276.44, 15,421.92 and 9,285 is: 13,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.44 : 15,421.92 = 9,285 : x
  2. Step 2: Convert to fraction form
    10,276.44/15,421.92 = 9,285/x
  3. Step 3: Cross multiply
    10,276.44x = 15,421.92 × 9,285
  4. Step 4: Simplify right side
    10,276.44x = 143,192,527.20
  5. Step 5: Solve for x
    x = 143,192,527.20/10,276.44
  6. Step 6: Final answer
    x = 13,934.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.