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Finding the Fourth Proportional to 9,773.88, 14,663.32 and 2,848.36

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Solution

The fourth proportional to 9,773.88, 14,663.32 and 2,848.36 is: 4,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.88 : 14,663.32 = 2,848.36 : x
  2. Step 2: Convert to fraction form
    9,773.88/14,663.32 = 2,848.36/x
  3. Step 3: Cross multiply
    9,773.88x = 14,663.32 × 2,848.36
  4. Step 4: Simplify right side
    9,773.88x = 41,766,414.16
  5. Step 5: Solve for x
    x = 41,766,414.16/9,773.88
  6. Step 6: Final answer
    x = 4,273.27

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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.