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Finding the Fourth Proportional to 6,416.06, 9,612.77 and 5,719.46

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Solution

The fourth proportional to 6,416.06, 9,612.77 and 5,719.46 is: 8,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.06 : 9,612.77 = 5,719.46 : x
  2. Step 2: Convert to fraction form
    6,416.06/9,612.77 = 5,719.46/x
  3. Step 3: Cross multiply
    6,416.06x = 9,612.77 × 5,719.46
  4. Step 4: Simplify right side
    6,416.06x = 54,979,776.84
  5. Step 5: Solve for x
    x = 54,979,776.84/6,416.06
  6. Step 6: Final answer
    x = 8,569.09

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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.