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Finding the Fourth Proportional to 6,416.72, 9,621.66 and 2,951

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Solution

The fourth proportional to 6,416.72, 9,621.66 and 2,951 is: 4,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.72 : 9,621.66 = 2,951 : x
  2. Step 2: Convert to fraction form
    6,416.72/9,621.66 = 2,951/x
  3. Step 3: Cross multiply
    6,416.72x = 9,621.66 × 2,951
  4. Step 4: Simplify right side
    6,416.72x = 28,393,518.66
  5. Step 5: Solve for x
    x = 28,393,518.66/6,416.72
  6. Step 6: Final answer
    x = 4,424.93

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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.