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Finding the Fourth Proportional to 9,835.78, 13,572.85 and 5,586.73

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Solution

The fourth proportional to 9,835.78, 13,572.85 and 5,586.73 is: 7,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.78 : 13,572.85 = 5,586.73 : x
  2. Step 2: Convert to fraction form
    9,835.78/13,572.85 = 5,586.73/x
  3. Step 3: Cross multiply
    9,835.78x = 13,572.85 × 5,586.73
  4. Step 4: Simplify right side
    9,835.78x = 75,827,848.28
  5. Step 5: Solve for x
    x = 75,827,848.28/9,835.78
  6. Step 6: Final answer
    x = 7,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.