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Finding the Fourth Proportional to 9,590.82, 13,235.19 and 5,341.77

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Solution

The fourth proportional to 9,590.82, 13,235.19 and 5,341.77 is: 7,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.82 : 13,235.19 = 5,341.77 : x
  2. Step 2: Convert to fraction form
    9,590.82/13,235.19 = 5,341.77/x
  3. Step 3: Cross multiply
    9,590.82x = 13,235.19 × 5,341.77
  4. Step 4: Simplify right side
    9,590.82x = 70,699,340.89
  5. Step 5: Solve for x
    x = 70,699,340.89/9,590.82
  6. Step 6: Final answer
    x = 7,371.56

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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.