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Finding the Fourth Proportional to 9,752.16, 14,629.68 and 3,176.22

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Solution

The fourth proportional to 9,752.16, 14,629.68 and 3,176.22 is: 4,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.16 : 14,629.68 = 3,176.22 : x
  2. Step 2: Convert to fraction form
    9,752.16/14,629.68 = 3,176.22/x
  3. Step 3: Cross multiply
    9,752.16x = 14,629.68 × 3,176.22
  4. Step 4: Simplify right side
    9,752.16x = 46,467,082.21
  5. Step 5: Solve for x
    x = 46,467,082.21/9,752.16
  6. Step 6: Final answer
    x = 4,764.80

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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.