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Finding the Fourth Proportional to 9,590.14, 13,234.24 and 5,341.12

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Solution

The fourth proportional to 9,590.14, 13,234.24 and 5,341.12 is: 7,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.14 : 13,234.24 = 5,341.12 : x
  2. Step 2: Convert to fraction form
    9,590.14/13,234.24 = 5,341.12/x
  3. Step 3: Cross multiply
    9,590.14x = 13,234.24 × 5,341.12
  4. Step 4: Simplify right side
    9,590.14x = 70,685,663.95
  5. Step 5: Solve for x
    x = 70,685,663.95/9,590.14
  6. Step 6: Final answer
    x = 7,370.66

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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.