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Finding the Fourth Proportional to 9,176.67, 13,765.14 and 2,602.87

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Solution

The fourth proportional to 9,176.67, 13,765.14 and 2,602.87 is: 3,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.67 : 13,765.14 = 2,602.87 : x
  2. Step 2: Convert to fraction form
    9,176.67/13,765.14 = 2,602.87/x
  3. Step 3: Cross multiply
    9,176.67x = 13,765.14 × 2,602.87
  4. Step 4: Simplify right side
    9,176.67x = 35,828,835.54
  5. Step 5: Solve for x
    x = 35,828,835.54/9,176.67
  6. Step 6: Final answer
    x = 3,904.34

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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.