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Finding the Fourth Proportional to 6,284.34, 9,407.03 and 5,820.98

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Solution

The fourth proportional to 6,284.34, 9,407.03 and 5,820.98 is: 8,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.34 : 9,407.03 = 5,820.98 : x
  2. Step 2: Convert to fraction form
    6,284.34/9,407.03 = 5,820.98/x
  3. Step 3: Cross multiply
    6,284.34x = 9,407.03 × 5,820.98
  4. Step 4: Simplify right side
    6,284.34x = 54,758,057.35
  5. Step 5: Solve for x
    x = 54,758,057.35/6,284.34
  6. Step 6: Final answer
    x = 8,713.41

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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.