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Finding the Fourth Proportional to 9,590.57, 13,235.88 and 5,611.43

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Solution

The fourth proportional to 9,590.57, 13,235.88 and 5,611.43 is: 7,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.57 : 13,235.88 = 5,611.43 : x
  2. Step 2: Convert to fraction form
    9,590.57/13,235.88 = 5,611.43/x
  3. Step 3: Cross multiply
    9,590.57x = 13,235.88 × 5,611.43
  4. Step 4: Simplify right side
    9,590.57x = 74,272,214.11
  5. Step 5: Solve for x
    x = 74,272,214.11/9,590.57
  6. Step 6: Final answer
    x = 7,744.30

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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.