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Finding the Fourth Proportional to 6,404.19, 9,606.30 and 2,021.70

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Solution

The fourth proportional to 6,404.19, 9,606.30 and 2,021.70 is: 3,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.19 : 9,606.30 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    6,404.19/9,606.30 = 2,021.70/x
  3. Step 3: Cross multiply
    6,404.19x = 9,606.30 × 2,021.70
  4. Step 4: Simplify right side
    6,404.19x = 19,421,056.71
  5. Step 5: Solve for x
    x = 19,421,056.71/6,404.19
  6. Step 6: Final answer
    x = 3,032.55

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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.