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Finding the Fourth Proportional to 9,950.39, 13,728.75 and 6,415.67

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Solution

The fourth proportional to 9,950.39, 13,728.75 and 6,415.67 is: 8,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.39 : 13,728.75 = 6,415.67 : x
  2. Step 2: Convert to fraction form
    9,950.39/13,728.75 = 6,415.67/x
  3. Step 3: Cross multiply
    9,950.39x = 13,728.75 × 6,415.67
  4. Step 4: Simplify right side
    9,950.39x = 88,079,129.51
  5. Step 5: Solve for x
    x = 88,079,129.51/9,950.39
  6. Step 6: Final answer
    x = 8,851.83

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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.