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Finding the Fourth Proportional to 9,176.17, 12,665.37 and 5,199.63

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Solution

The fourth proportional to 9,176.17, 12,665.37 and 5,199.63 is: 7,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.17 : 12,665.37 = 5,199.63 : x
  2. Step 2: Convert to fraction form
    9,176.17/12,665.37 = 5,199.63/x
  3. Step 3: Cross multiply
    9,176.17x = 12,665.37 × 5,199.63
  4. Step 4: Simplify right side
    9,176.17x = 65,855,237.81
  5. Step 5: Solve for x
    x = 65,855,237.81/9,176.17
  6. Step 6: Final answer
    x = 7,176.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.