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Finding the Fourth Proportional to 9,767.19, 14,650.17 and 4,216.63

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Solution

The fourth proportional to 9,767.19, 14,650.17 and 4,216.63 is: 6,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.19 : 14,650.17 = 4,216.63 : x
  2. Step 2: Convert to fraction form
    9,767.19/14,650.17 = 4,216.63/x
  3. Step 3: Cross multiply
    9,767.19x = 14,650.17 × 4,216.63
  4. Step 4: Simplify right side
    9,767.19x = 61,774,346.33
  5. Step 5: Solve for x
    x = 61,774,346.33/9,767.19
  6. Step 6: Final answer
    x = 6,324.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.