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Finding the Fourth Proportional to 9,076.16, 13,615.69 and 3,154.86

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Solution

The fourth proportional to 9,076.16, 13,615.69 and 3,154.86 is: 4,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.16 : 13,615.69 = 3,154.86 : x
  2. Step 2: Convert to fraction form
    9,076.16/13,615.69 = 3,154.86/x
  3. Step 3: Cross multiply
    9,076.16x = 13,615.69 × 3,154.86
  4. Step 4: Simplify right side
    9,076.16x = 42,955,579.98
  5. Step 5: Solve for x
    x = 42,955,579.98/9,076.16
  6. Step 6: Final answer
    x = 4,732.79

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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.