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Finding the Fourth Proportional to 9,178.75, 12,666.56 and 5,200.64

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Solution

The fourth proportional to 9,178.75, 12,666.56 and 5,200.64 is: 7,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.75 : 12,666.56 = 5,200.64 : x
  2. Step 2: Convert to fraction form
    9,178.75/12,666.56 = 5,200.64/x
  3. Step 3: Cross multiply
    9,178.75x = 12,666.56 × 5,200.64
  4. Step 4: Simplify right side
    9,178.75x = 65,874,155.27
  5. Step 5: Solve for x
    x = 65,874,155.27/9,178.75
  6. Step 6: Final answer
    x = 7,176.82

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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.