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Finding the Fourth Proportional to 6,440.12, 9,651.72 and 4,667.13

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Solution

The fourth proportional to 6,440.12, 9,651.72 and 4,667.13 is: 6,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.12 : 9,651.72 = 4,667.13 : x
  2. Step 2: Convert to fraction form
    6,440.12/9,651.72 = 4,667.13/x
  3. Step 3: Cross multiply
    6,440.12x = 9,651.72 × 4,667.13
  4. Step 4: Simplify right side
    6,440.12x = 45,045,849.47
  5. Step 5: Solve for x
    x = 45,045,849.47/6,440.12
  6. Step 6: Final answer
    x = 6,994.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.