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Finding the Fourth Proportional to 6,542.03, 9,023.84 and 4,303.09

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Solution

The fourth proportional to 6,542.03, 9,023.84 and 4,303.09 is: 5,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.03 : 9,023.84 = 4,303.09 : x
  2. Step 2: Convert to fraction form
    6,542.03/9,023.84 = 4,303.09/x
  3. Step 3: Cross multiply
    6,542.03x = 9,023.84 × 4,303.09
  4. Step 4: Simplify right side
    6,542.03x = 38,830,401.57
  5. Step 5: Solve for x
    x = 38,830,401.57/6,542.03
  6. Step 6: Final answer
    x = 5,935.53

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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.