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Finding the Fourth Proportional to 9,403.92, 12,980.78 and 6,417.62

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Solution

The fourth proportional to 9,403.92, 12,980.78 and 6,417.62 is: 8,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.92 : 12,980.78 = 6,417.62 : x
  2. Step 2: Convert to fraction form
    9,403.92/12,980.78 = 6,417.62/x
  3. Step 3: Cross multiply
    9,403.92x = 12,980.78 × 6,417.62
  4. Step 4: Simplify right side
    9,403.92x = 83,305,713.34
  5. Step 5: Solve for x
    x = 83,305,713.34/9,403.92
  6. Step 6: Final answer
    x = 8,858.62

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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.