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Finding the Fourth Proportional to 9,560.94, 14,338.98 and 4,293

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Solution

The fourth proportional to 9,560.94, 14,338.98 and 4,293 is: 6,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.94 : 14,338.98 = 4,293 : x
  2. Step 2: Convert to fraction form
    9,560.94/14,338.98 = 4,293/x
  3. Step 3: Cross multiply
    9,560.94x = 14,338.98 × 4,293
  4. Step 4: Simplify right side
    9,560.94x = 61,557,241.14
  5. Step 5: Solve for x
    x = 61,557,241.14/9,560.94
  6. Step 6: Final answer
    x = 6,438.41

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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.