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Finding the Fourth Proportional to 6,403.17, 9,604.80 and 2,021.07

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Solution

The fourth proportional to 6,403.17, 9,604.80 and 2,021.07 is: 3,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.17 : 9,604.80 = 2,021.07 : x
  2. Step 2: Convert to fraction form
    6,403.17/9,604.80 = 2,021.07/x
  3. Step 3: Cross multiply
    6,403.17x = 9,604.80 × 2,021.07
  4. Step 4: Simplify right side
    6,403.17x = 19,411,973.14
  5. Step 5: Solve for x
    x = 19,411,973.14/6,403.17
  6. Step 6: Final answer
    x = 3,031.62

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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.