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Finding the Fourth Proportional to 6,461.16, 8,914.66 and 4,102.12

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Solution

The fourth proportional to 6,461.16, 8,914.66 and 4,102.12 is: 5,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.16 : 8,914.66 = 4,102.12 : x
  2. Step 2: Convert to fraction form
    6,461.16/8,914.66 = 4,102.12/x
  3. Step 3: Cross multiply
    6,461.16x = 8,914.66 × 4,102.12
  4. Step 4: Simplify right side
    6,461.16x = 36,569,005.08
  5. Step 5: Solve for x
    x = 36,569,005.08/6,461.16
  6. Step 6: Final answer
    x = 5,659.82

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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.