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Finding the Fourth Proportional to 6,548.13, 9,034.92 and 3,714.81

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Solution

The fourth proportional to 6,548.13, 9,034.92 and 3,714.81 is: 5,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.13 : 9,034.92 = 3,714.81 : x
  2. Step 2: Convert to fraction form
    6,548.13/9,034.92 = 3,714.81/x
  3. Step 3: Cross multiply
    6,548.13x = 9,034.92 × 3,714.81
  4. Step 4: Simplify right side
    6,548.13x = 33,563,011.17
  5. Step 5: Solve for x
    x = 33,563,011.17/6,548.13
  6. Step 6: Final answer
    x = 5,125.59

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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.