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Finding the Fourth Proportional to 9,590.94, 13,235.67 and 5,614.92

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Solution

The fourth proportional to 9,590.94, 13,235.67 and 5,614.92 is: 7,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.94 : 13,235.67 = 5,614.92 : x
  2. Step 2: Convert to fraction form
    9,590.94/13,235.67 = 5,614.92/x
  3. Step 3: Cross multiply
    9,590.94x = 13,235.67 × 5,614.92
  4. Step 4: Simplify right side
    9,590.94x = 74,317,228.20
  5. Step 5: Solve for x
    x = 74,317,228.20/9,590.94
  6. Step 6: Final answer
    x = 7,748.69

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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.