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Finding the Fourth Proportional to 9,076.71, 13,615.20 and 2,836.47

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Solution

The fourth proportional to 9,076.71, 13,615.20 and 2,836.47 is: 4,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.71 : 13,615.20 = 2,836.47 : x
  2. Step 2: Convert to fraction form
    9,076.71/13,615.20 = 2,836.47/x
  3. Step 3: Cross multiply
    9,076.71x = 13,615.20 × 2,836.47
  4. Step 4: Simplify right side
    9,076.71x = 38,619,106.34
  5. Step 5: Solve for x
    x = 38,619,106.34/9,076.71
  6. Step 6: Final answer
    x = 4,254.75

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Why These Related Problems?

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