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Finding the Fourth Proportional to 9,176.15, 13,764.17 and 2,602.34

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Solution

The fourth proportional to 9,176.15, 13,764.17 and 2,602.34 is: 3,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.15 : 13,764.17 = 2,602.34 : x
  2. Step 2: Convert to fraction form
    9,176.15/13,764.17 = 2,602.34/x
  3. Step 3: Cross multiply
    9,176.15x = 13,764.17 × 2,602.34
  4. Step 4: Simplify right side
    9,176.15x = 35,819,039.46
  5. Step 5: Solve for x
    x = 35,819,039.46/9,176.15
  6. Step 6: Final answer
    x = 3,903.49

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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.