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Finding the Fourth Proportional to 9,596.67, 14,388.85 and 4,048.50

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Solution

The fourth proportional to 9,596.67, 14,388.85 and 4,048.50 is: 6,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.67 : 14,388.85 = 4,048.50 : x
  2. Step 2: Convert to fraction form
    9,596.67/14,388.85 = 4,048.50/x
  3. Step 3: Cross multiply
    9,596.67x = 14,388.85 × 4,048.50
  4. Step 4: Simplify right side
    9,596.67x = 58,253,259.23
  5. Step 5: Solve for x
    x = 58,253,259.23/9,596.67
  6. Step 6: Final answer
    x = 6,070.15

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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.