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Finding the Fourth Proportional to 9,430.72, 14,148.34 and 6,662.80

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Solution

The fourth proportional to 9,430.72, 14,148.34 and 6,662.80 is: 9,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.72 : 14,148.34 = 6,662.80 : x
  2. Step 2: Convert to fraction form
    9,430.72/14,148.34 = 6,662.80/x
  3. Step 3: Cross multiply
    9,430.72x = 14,148.34 × 6,662.80
  4. Step 4: Simplify right side
    9,430.72x = 94,267,559.75
  5. Step 5: Solve for x
    x = 94,267,559.75/9,430.72
  6. Step 6: Final answer
    x = 9,995.80

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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.