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Finding the Fourth Proportional to 9,178.91, 12,666.93 and 5,200.76

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Solution

The fourth proportional to 9,178.91, 12,666.93 and 5,200.76 is: 7,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.91 : 12,666.93 = 5,200.76 : x
  2. Step 2: Convert to fraction form
    9,178.91/12,666.93 = 5,200.76/x
  3. Step 3: Cross multiply
    9,178.91x = 12,666.93 × 5,200.76
  4. Step 4: Simplify right side
    9,178.91x = 65,877,662.87
  5. Step 5: Solve for x
    x = 65,877,662.87/9,178.91
  6. Step 6: Final answer
    x = 7,177.07

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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.