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Finding the Fourth Proportional to 9,430.78, 13,014.45 and 5,239.12

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Solution

The fourth proportional to 9,430.78, 13,014.45 and 5,239.12 is: 7,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.78 : 13,014.45 = 5,239.12 : x
  2. Step 2: Convert to fraction form
    9,430.78/13,014.45 = 5,239.12/x
  3. Step 3: Cross multiply
    9,430.78x = 13,014.45 × 5,239.12
  4. Step 4: Simplify right side
    9,430.78x = 68,184,265.28
  5. Step 5: Solve for x
    x = 68,184,265.28/9,430.78
  6. Step 6: Final answer
    x = 7,229.97

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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.