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Finding the Fourth Proportional to 6,456.25, 8,909.63 and 3,661.93

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Solution

The fourth proportional to 6,456.25, 8,909.63 and 3,661.93 is: 5,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.25 : 8,909.63 = 3,661.93 : x
  2. Step 2: Convert to fraction form
    6,456.25/8,909.63 = 3,661.93/x
  3. Step 3: Cross multiply
    6,456.25x = 8,909.63 × 3,661.93
  4. Step 4: Simplify right side
    6,456.25x = 32,626,441.39
  5. Step 5: Solve for x
    x = 32,626,441.39/6,456.25
  6. Step 6: Final answer
    x = 5,053.47

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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.