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Finding the Fourth Proportional to 7,039.44, 9,714.40 and 3,852.76

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Solution

The fourth proportional to 7,039.44, 9,714.40 and 3,852.76 is: 5,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.44 : 9,714.40 = 3,852.76 : x
  2. Step 2: Convert to fraction form
    7,039.44/9,714.40 = 3,852.76/x
  3. Step 3: Cross multiply
    7,039.44x = 9,714.40 × 3,852.76
  4. Step 4: Simplify right side
    7,039.44x = 37,427,251.74
  5. Step 5: Solve for x
    x = 37,427,251.74/7,039.44
  6. Step 6: Final answer
    x = 5,316.79

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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.