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Finding the Fourth Proportional to 6,714.94, 9,261.50 and 5,959.51

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Solution

The fourth proportional to 6,714.94, 9,261.50 and 5,959.51 is: 8,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.94 : 9,261.50 = 5,959.51 : x
  2. Step 2: Convert to fraction form
    6,714.94/9,261.50 = 5,959.51/x
  3. Step 3: Cross multiply
    6,714.94x = 9,261.50 × 5,959.51
  4. Step 4: Simplify right side
    6,714.94x = 55,194,001.87
  5. Step 5: Solve for x
    x = 55,194,001.87/6,714.94
  6. Step 6: Final answer
    x = 8,219.58

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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.