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Finding the Fourth Proportional to 9,569.82, 14,347.80 and 2,992.44

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Solution

The fourth proportional to 9,569.82, 14,347.80 and 2,992.44 is: 4,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.82 : 14,347.80 = 2,992.44 : x
  2. Step 2: Convert to fraction form
    9,569.82/14,347.80 = 2,992.44/x
  3. Step 3: Cross multiply
    9,569.82x = 14,347.80 × 2,992.44
  4. Step 4: Simplify right side
    9,569.82x = 42,934,930.63
  5. Step 5: Solve for x
    x = 42,934,930.63/9,569.82
  6. Step 6: Final answer
    x = 4,486.49

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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.