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Finding the Fourth Proportional to 6,434.58, 9,653.94 and 2,052.07

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Solution

The fourth proportional to 6,434.58, 9,653.94 and 2,052.07 is: 3,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.58 : 9,653.94 = 2,052.07 : x
  2. Step 2: Convert to fraction form
    6,434.58/9,653.94 = 2,052.07/x
  3. Step 3: Cross multiply
    6,434.58x = 9,653.94 × 2,052.07
  4. Step 4: Simplify right side
    6,434.58x = 19,810,572.72
  5. Step 5: Solve for x
    x = 19,810,572.72/6,434.58
  6. Step 6: Final answer
    x = 3,078.77

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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.