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Finding the Fourth Proportional to 6,417.96, 9,626.93 and 2,256.99

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Solution

The fourth proportional to 6,417.96, 9,626.93 and 2,256.99 is: 3,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.96 : 9,626.93 = 2,256.99 : x
  2. Step 2: Convert to fraction form
    6,417.96/9,626.93 = 2,256.99/x
  3. Step 3: Cross multiply
    6,417.96x = 9,626.93 × 2,256.99
  4. Step 4: Simplify right side
    6,417.96x = 21,727,873.46
  5. Step 5: Solve for x
    x = 21,727,873.46/6,417.96
  6. Step 6: Final answer
    x = 3,385.48

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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.