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Finding the Fourth Proportional to 9,402.50, 12,976.75 and 5,423.53

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Solution

The fourth proportional to 9,402.50, 12,976.75 and 5,423.53 is: 7,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.50 : 12,976.75 = 5,423.53 : x
  2. Step 2: Convert to fraction form
    9,402.50/12,976.75 = 5,423.53/x
  3. Step 3: Cross multiply
    9,402.50x = 12,976.75 × 5,423.53
  4. Step 4: Simplify right side
    9,402.50x = 70,379,700.93
  5. Step 5: Solve for x
    x = 70,379,700.93/9,402.50
  6. Step 6: Final answer
    x = 7,485.21

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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.