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Finding the Fourth Proportional to 9,434.34, 13,019.76 and 5,242.50

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Solution

The fourth proportional to 9,434.34, 13,019.76 and 5,242.50 is: 7,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.34 : 13,019.76 = 5,242.50 : x
  2. Step 2: Convert to fraction form
    9,434.34/13,019.76 = 5,242.50/x
  3. Step 3: Cross multiply
    9,434.34x = 13,019.76 × 5,242.50
  4. Step 4: Simplify right side
    9,434.34x = 68,256,091.80
  5. Step 5: Solve for x
    x = 68,256,091.80/9,434.34
  6. Step 6: Final answer
    x = 7,234.86

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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.