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Finding the Fourth Proportional to 9,430.92, 14,148.09 and 4,165.92

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Solution

The fourth proportional to 9,430.92, 14,148.09 and 4,165.92 is: 6,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.92 : 14,148.09 = 4,165.92 : x
  2. Step 2: Convert to fraction form
    9,430.92/14,148.09 = 4,165.92/x
  3. Step 3: Cross multiply
    9,430.92x = 14,148.09 × 4,165.92
  4. Step 4: Simplify right side
    9,430.92x = 58,939,811.09
  5. Step 5: Solve for x
    x = 58,939,811.09/9,430.92
  6. Step 6: Final answer
    x = 6,249.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.