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Finding the Fourth Proportional to 6,445.12, 9,667.84 and 2,980.16

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Solution

The fourth proportional to 6,445.12, 9,667.84 and 2,980.16 is: 4,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.12 : 9,667.84 = 2,980.16 : x
  2. Step 2: Convert to fraction form
    6,445.12/9,667.84 = 2,980.16/x
  3. Step 3: Cross multiply
    6,445.12x = 9,667.84 × 2,980.16
  4. Step 4: Simplify right side
    6,445.12x = 28,811,710.05
  5. Step 5: Solve for x
    x = 28,811,710.05/6,445.12
  6. Step 6: Final answer
    x = 4,470.31

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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.