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Finding the Fourth Proportional to 9,102.70, 13,636.54 and 5,582.44

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Solution

The fourth proportional to 9,102.70, 13,636.54 and 5,582.44 is: 8,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.70 : 13,636.54 = 5,582.44 : x
  2. Step 2: Convert to fraction form
    9,102.70/13,636.54 = 5,582.44/x
  3. Step 3: Cross multiply
    9,102.70x = 13,636.54 × 5,582.44
  4. Step 4: Simplify right side
    9,102.70x = 76,125,166.36
  5. Step 5: Solve for x
    x = 76,125,166.36/9,102.70
  6. Step 6: Final answer
    x = 8,362.92

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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.