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Finding the Fourth Proportional to 7,040.97, 9,714.81 and 4,314.76

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Solution

The fourth proportional to 7,040.97, 9,714.81 and 4,314.76 is: 5,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.97 : 9,714.81 = 4,314.76 : x
  2. Step 2: Convert to fraction form
    7,040.97/9,714.81 = 4,314.76/x
  3. Step 3: Cross multiply
    7,040.97x = 9,714.81 × 4,314.76
  4. Step 4: Simplify right side
    7,040.97x = 41,917,073.60
  5. Step 5: Solve for x
    x = 41,917,073.60/7,040.97
  6. Step 6: Final answer
    x = 5,953.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.