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Finding the Fourth Proportional to 9,714.89, 14,568.69 and 3,139.31

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Solution

The fourth proportional to 9,714.89, 14,568.69 and 3,139.31 is: 4,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.89 : 14,568.69 = 3,139.31 : x
  2. Step 2: Convert to fraction form
    9,714.89/14,568.69 = 3,139.31/x
  3. Step 3: Cross multiply
    9,714.89x = 14,568.69 × 3,139.31
  4. Step 4: Simplify right side
    9,714.89x = 45,735,682.40
  5. Step 5: Solve for x
    x = 45,735,682.40/9,714.89
  6. Step 6: Final answer
    x = 4,707.79

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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.