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Finding the Fourth Proportional to 9,178.56, 12,666.42 and 4,986.81

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Solution

The fourth proportional to 9,178.56, 12,666.42 and 4,986.81 is: 6,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.56 : 12,666.42 = 4,986.81 : x
  2. Step 2: Convert to fraction form
    9,178.56/12,666.42 = 4,986.81/x
  3. Step 3: Cross multiply
    9,178.56x = 12,666.42 × 4,986.81
  4. Step 4: Simplify right side
    9,178.56x = 63,165,049.12
  5. Step 5: Solve for x
    x = 63,165,049.12/9,178.56
  6. Step 6: Final answer
    x = 6,881.80

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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.