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Finding the Fourth Proportional to 6,534.02, 9,801.72 and 3,024.34

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Solution

The fourth proportional to 6,534.02, 9,801.72 and 3,024.34 is: 4,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.02 : 9,801.72 = 3,024.34 : x
  2. Step 2: Convert to fraction form
    6,534.02/9,801.72 = 3,024.34/x
  3. Step 3: Cross multiply
    6,534.02x = 9,801.72 × 3,024.34
  4. Step 4: Simplify right side
    6,534.02x = 29,643,733.86
  5. Step 5: Solve for x
    x = 29,643,733.86/6,534.02
  6. Step 6: Final answer
    x = 4,536.83

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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.