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Finding the Fourth Proportional to 7,039.46, 9,714.06 and 3,852.16

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Solution

The fourth proportional to 7,039.46, 9,714.06 and 3,852.16 is: 5,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.46 : 9,714.06 = 3,852.16 : x
  2. Step 2: Convert to fraction form
    7,039.46/9,714.06 = 3,852.16/x
  3. Step 3: Cross multiply
    7,039.46x = 9,714.06 × 3,852.16
  4. Step 4: Simplify right side
    7,039.46x = 37,420,089.08
  5. Step 5: Solve for x
    x = 37,420,089.08/7,039.46
  6. Step 6: Final answer
    x = 5,315.76

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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.