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Finding the Fourth Proportional to 6,308.88, 9,465 and 1,926.48

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Solution

The fourth proportional to 6,308.88, 9,465 and 1,926.48 is: 2,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.88 : 9,465 = 1,926.48 : x
  2. Step 2: Convert to fraction form
    6,308.88/9,465 = 1,926.48/x
  3. Step 3: Cross multiply
    6,308.88x = 9,465 × 1,926.48
  4. Step 4: Simplify right side
    6,308.88x = 18,234,133.20
  5. Step 5: Solve for x
    x = 18,234,133.20/6,308.88
  6. Step 6: Final answer
    x = 2,890.23

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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.