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Finding the Fourth Proportional to 9,430.40, 13,014.54 and 5,238.64

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Solution

The fourth proportional to 9,430.40, 13,014.54 and 5,238.64 is: 7,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.40 : 13,014.54 = 5,238.64 : x
  2. Step 2: Convert to fraction form
    9,430.40/13,014.54 = 5,238.64/x
  3. Step 3: Cross multiply
    9,430.40x = 13,014.54 × 5,238.64
  4. Step 4: Simplify right side
    9,430.40x = 68,178,489.83
  5. Step 5: Solve for x
    x = 68,178,489.83/9,430.40
  6. Step 6: Final answer
    x = 7,229.65

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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.