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Finding the Fourth Proportional to 9,430.80, 14,142.92 and 4,749

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Solution

The fourth proportional to 9,430.80, 14,142.92 and 4,749 is: 7,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.80 : 14,142.92 = 4,749 : x
  2. Step 2: Convert to fraction form
    9,430.80/14,142.92 = 4,749/x
  3. Step 3: Cross multiply
    9,430.80x = 14,142.92 × 4,749
  4. Step 4: Simplify right side
    9,430.80x = 67,164,727.08
  5. Step 5: Solve for x
    x = 67,164,727.08/9,430.80
  6. Step 6: Final answer
    x = 7,121.85

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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.