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Finding the Fourth Proportional to 7,039.52, 9,714.44 and 3,852.74

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Solution

The fourth proportional to 7,039.52, 9,714.44 and 3,852.74 is: 5,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.52 : 9,714.44 = 3,852.74 : x
  2. Step 2: Convert to fraction form
    7,039.52/9,714.44 = 3,852.74/x
  3. Step 3: Cross multiply
    7,039.52x = 9,714.44 × 3,852.74
  4. Step 4: Simplify right side
    7,039.52x = 37,427,192.30
  5. Step 5: Solve for x
    x = 37,427,192.30/7,039.52
  6. Step 6: Final answer
    x = 5,316.73

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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.