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Finding the Fourth Proportional to 9,209.88, 12,705.58 and 6,224.63

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Solution

The fourth proportional to 9,209.88, 12,705.58 and 6,224.63 is: 8,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.88 : 12,705.58 = 6,224.63 : x
  2. Step 2: Convert to fraction form
    9,209.88/12,705.58 = 6,224.63/x
  3. Step 3: Cross multiply
    9,209.88x = 12,705.58 × 6,224.63
  4. Step 4: Simplify right side
    9,209.88x = 79,087,534.44
  5. Step 5: Solve for x
    x = 79,087,534.44/9,209.88
  6. Step 6: Final answer
    x = 8,587.25

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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.