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Finding the Fourth Proportional to 9,590.05, 13,211.58 and 9,147.16

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Solution

The fourth proportional to 9,590.05, 13,211.58 and 9,147.16 is: 12,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.05 : 13,211.58 = 9,147.16 : x
  2. Step 2: Convert to fraction form
    9,590.05/13,211.58 = 9,147.16/x
  3. Step 3: Cross multiply
    9,590.05x = 13,211.58 × 9,147.16
  4. Step 4: Simplify right side
    9,590.05x = 120,848,436.11
  5. Step 5: Solve for x
    x = 120,848,436.11/9,590.05
  6. Step 6: Final answer
    x = 12,601.44

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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.