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Finding the Fourth Proportional to 9,430.78, 13,013.94 and 5,238.76

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Solution

The fourth proportional to 9,430.78, 13,013.94 and 5,238.76 is: 7,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.78 : 13,013.94 = 5,238.76 : x
  2. Step 2: Convert to fraction form
    9,430.78/13,013.94 = 5,238.76/x
  3. Step 3: Cross multiply
    9,430.78x = 13,013.94 × 5,238.76
  4. Step 4: Simplify right side
    9,430.78x = 68,176,908.31
  5. Step 5: Solve for x
    x = 68,176,908.31/9,430.78
  6. Step 6: Final answer
    x = 7,229.19

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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.