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Finding the Fourth Proportional to 9,590.16, 13,216.05 and 7,993.65

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Solution

The fourth proportional to 9,590.16, 13,216.05 and 7,993.65 is: 11,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.16 : 13,216.05 = 7,993.65 : x
  2. Step 2: Convert to fraction form
    9,590.16/13,216.05 = 7,993.65/x
  3. Step 3: Cross multiply
    9,590.16x = 13,216.05 × 7,993.65
  4. Step 4: Simplify right side
    9,590.16x = 105,644,478.08
  5. Step 5: Solve for x
    x = 105,644,478.08/9,590.16
  6. Step 6: Final answer
    x = 11,015.92

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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.