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Finding the Fourth Proportional to 9,209.18, 12,703.42 and 5,669.88

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Solution

The fourth proportional to 9,209.18, 12,703.42 and 5,669.88 is: 7,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.18 : 12,703.42 = 5,669.88 : x
  2. Step 2: Convert to fraction form
    9,209.18/12,703.42 = 5,669.88/x
  3. Step 3: Cross multiply
    9,209.18x = 12,703.42 × 5,669.88
  4. Step 4: Simplify right side
    9,209.18x = 72,026,866.99
  5. Step 5: Solve for x
    x = 72,026,866.99/9,209.18
  6. Step 6: Final answer
    x = 7,821.20

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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.