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Finding the Fourth Proportional to 9,216.98, 13,832.76 and 4,026.50

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Solution

The fourth proportional to 9,216.98, 13,832.76 and 4,026.50 is: 6,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.98 : 13,832.76 = 4,026.50 : x
  2. Step 2: Convert to fraction form
    9,216.98/13,832.76 = 4,026.50/x
  3. Step 3: Cross multiply
    9,216.98x = 13,832.76 × 4,026.50
  4. Step 4: Simplify right side
    9,216.98x = 55,697,608.14
  5. Step 5: Solve for x
    x = 55,697,608.14/9,216.98
  6. Step 6: Final answer
    x = 6,042.93

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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.