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Finding the Fourth Proportional to 6,414.91, 9,625.69 and 4,854.45

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Solution

The fourth proportional to 6,414.91, 9,625.69 and 4,854.45 is: 7,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.91 : 9,625.69 = 4,854.45 : x
  2. Step 2: Convert to fraction form
    6,414.91/9,625.69 = 4,854.45/x
  3. Step 3: Cross multiply
    6,414.91x = 9,625.69 × 4,854.45
  4. Step 4: Simplify right side
    6,414.91x = 46,727,430.82
  5. Step 5: Solve for x
    x = 46,727,430.82/6,414.91
  6. Step 6: Final answer
    x = 7,284.19

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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.