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Finding the Fourth Proportional to 6,416.68, 9,625.04 and 2,953.96

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Solution

The fourth proportional to 6,416.68, 9,625.04 and 2,953.96 is: 4,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.68 : 9,625.04 = 2,953.96 : x
  2. Step 2: Convert to fraction form
    6,416.68/9,625.04 = 2,953.96/x
  3. Step 3: Cross multiply
    6,416.68x = 9,625.04 × 2,953.96
  4. Step 4: Simplify right side
    6,416.68x = 28,431,983.16
  5. Step 5: Solve for x
    x = 28,431,983.16/6,416.68
  6. Step 6: Final answer
    x = 4,430.95

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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.