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Finding the Fourth Proportional to 9,115.80, 12,582.90 and 5,669.08

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Solution

The fourth proportional to 9,115.80, 12,582.90 and 5,669.08 is: 7,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.80 : 12,582.90 = 5,669.08 : x
  2. Step 2: Convert to fraction form
    9,115.80/12,582.90 = 5,669.08/x
  3. Step 3: Cross multiply
    9,115.80x = 12,582.90 × 5,669.08
  4. Step 4: Simplify right side
    9,115.80x = 71,333,466.73
  5. Step 5: Solve for x
    x = 71,333,466.73/9,115.80
  6. Step 6: Final answer
    x = 7,825.26

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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.