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Finding the Fourth Proportional to 7,214.02, 9,956.57 and 4,188.67

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Solution

The fourth proportional to 7,214.02, 9,956.57 and 4,188.67 is: 5,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.02 : 9,956.57 = 4,188.67 : x
  2. Step 2: Convert to fraction form
    7,214.02/9,956.57 = 4,188.67/x
  3. Step 3: Cross multiply
    7,214.02x = 9,956.57 × 4,188.67
  4. Step 4: Simplify right side
    7,214.02x = 41,704,740.23
  5. Step 5: Solve for x
    x = 41,704,740.23/7,214.02
  6. Step 6: Final answer
    x = 5,781.07

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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.