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Finding the Fourth Proportional to 9,241.40, 13,869.39 and 4,308.50

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Solution

The fourth proportional to 9,241.40, 13,869.39 and 4,308.50 is: 6,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.40 : 13,869.39 = 4,308.50 : x
  2. Step 2: Convert to fraction form
    9,241.40/13,869.39 = 4,308.50/x
  3. Step 3: Cross multiply
    9,241.40x = 13,869.39 × 4,308.50
  4. Step 4: Simplify right side
    9,241.40x = 59,756,266.82
  5. Step 5: Solve for x
    x = 59,756,266.82/9,241.40
  6. Step 6: Final answer
    x = 6,466.15

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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.