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Finding the Fourth Proportional to 6,484.34, 9,708.14 and 5,040.38

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Solution

The fourth proportional to 6,484.34, 9,708.14 and 5,040.38 is: 7,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.34 : 9,708.14 = 5,040.38 : x
  2. Step 2: Convert to fraction form
    6,484.34/9,708.14 = 5,040.38/x
  3. Step 3: Cross multiply
    6,484.34x = 9,708.14 × 5,040.38
  4. Step 4: Simplify right side
    6,484.34x = 48,932,714.69
  5. Step 5: Solve for x
    x = 48,932,714.69/6,484.34
  6. Step 6: Final answer
    x = 7,546.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.