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Finding the Fourth Proportional to 6,446.16, 9,667.63 and 4,711.59

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Solution

The fourth proportional to 6,446.16, 9,667.63 and 4,711.59 is: 7,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 9,667.63 = 4,711.59 : x
  2. Step 2: Convert to fraction form
    6,446.16/9,667.63 = 4,711.59/x
  3. Step 3: Cross multiply
    6,446.16x = 9,667.63 × 4,711.59
  4. Step 4: Simplify right side
    6,446.16x = 45,549,908.83
  5. Step 5: Solve for x
    x = 45,549,908.83/6,446.16
  6. Step 6: Final answer
    x = 7,066.21

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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.