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Finding the Fourth Proportional to 9,166.77, 12,637.22 and 6,513.21

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Solution

The fourth proportional to 9,166.77, 12,637.22 and 6,513.21 is: 8,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.77 : 12,637.22 = 6,513.21 : x
  2. Step 2: Convert to fraction form
    9,166.77/12,637.22 = 6,513.21/x
  3. Step 3: Cross multiply
    9,166.77x = 12,637.22 × 6,513.21
  4. Step 4: Simplify right side
    9,166.77x = 82,308,835.11
  5. Step 5: Solve for x
    x = 82,308,835.11/9,166.77
  6. Step 6: Final answer
    x = 8,979.04

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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.