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Finding the Fourth Proportional to 6,404.74, 9,607.61 and 2,022.57

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Solution

The fourth proportional to 6,404.74, 9,607.61 and 2,022.57 is: 3,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.74 : 9,607.61 = 2,022.57 : x
  2. Step 2: Convert to fraction form
    6,404.74/9,607.61 = 2,022.57/x
  3. Step 3: Cross multiply
    6,404.74x = 9,607.61 × 2,022.57
  4. Step 4: Simplify right side
    6,404.74x = 19,432,068.81
  5. Step 5: Solve for x
    x = 19,432,068.81/6,404.74
  6. Step 6: Final answer
    x = 3,034.01

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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.