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Finding the Fourth Proportional to 9,590.86, 13,234.54 and 5,341.60

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Solution

The fourth proportional to 9,590.86, 13,234.54 and 5,341.60 is: 7,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.86 : 13,234.54 = 5,341.60 : x
  2. Step 2: Convert to fraction form
    9,590.86/13,234.54 = 5,341.60/x
  3. Step 3: Cross multiply
    9,590.86x = 13,234.54 × 5,341.60
  4. Step 4: Simplify right side
    9,590.86x = 70,693,618.86
  5. Step 5: Solve for x
    x = 70,693,618.86/9,590.86
  6. Step 6: Final answer
    x = 7,370.94

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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.