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Finding the Fourth Proportional to 9,185.64, 12,675.85 and 5,206.67

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Solution

The fourth proportional to 9,185.64, 12,675.85 and 5,206.67 is: 7,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.64 : 12,675.85 = 5,206.67 : x
  2. Step 2: Convert to fraction form
    9,185.64/12,675.85 = 5,206.67/x
  3. Step 3: Cross multiply
    9,185.64x = 12,675.85 × 5,206.67
  4. Step 4: Simplify right side
    9,185.64x = 65,998,967.92
  5. Step 5: Solve for x
    x = 65,998,967.92/9,185.64
  6. Step 6: Final answer
    x = 7,185.02

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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.