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Finding the Fourth Proportional to 9,714.56, 14,567.70 and 3,476.18

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Solution

The fourth proportional to 9,714.56, 14,567.70 and 3,476.18 is: 5,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.56 : 14,567.70 = 3,476.18 : x
  2. Step 2: Convert to fraction form
    9,714.56/14,567.70 = 3,476.18/x
  3. Step 3: Cross multiply
    9,714.56x = 14,567.70 × 3,476.18
  4. Step 4: Simplify right side
    9,714.56x = 50,639,947.39
  5. Step 5: Solve for x
    x = 50,639,947.39/9,714.56
  6. Step 6: Final answer
    x = 5,212.79

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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.