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Finding the Fourth Proportional to 9,495.86, 13,100.03 and 5,514.81

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Solution

The fourth proportional to 9,495.86, 13,100.03 and 5,514.81 is: 7,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.86 : 13,100.03 = 5,514.81 : x
  2. Step 2: Convert to fraction form
    9,495.86/13,100.03 = 5,514.81/x
  3. Step 3: Cross multiply
    9,495.86x = 13,100.03 × 5,514.81
  4. Step 4: Simplify right side
    9,495.86x = 72,244,148.87
  5. Step 5: Solve for x
    x = 72,244,148.87/9,495.86
  6. Step 6: Final answer
    x = 7,607.97

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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.