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Finding the Fourth Proportional to 9,446.10, 13,035.44 and 6,461.83

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Solution

The fourth proportional to 9,446.10, 13,035.44 and 6,461.83 is: 8,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.10 : 13,035.44 = 6,461.83 : x
  2. Step 2: Convert to fraction form
    9,446.10/13,035.44 = 6,461.83/x
  3. Step 3: Cross multiply
    9,446.10x = 13,035.44 × 6,461.83
  4. Step 4: Simplify right side
    9,446.10x = 84,232,829.70
  5. Step 5: Solve for x
    x = 84,232,829.70/9,446.10
  6. Step 6: Final answer
    x = 8,917.21

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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.