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Finding the Fourth Proportional to 9,606.40, 13,255.36 and 5,413.76

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Solution

The fourth proportional to 9,606.40, 13,255.36 and 5,413.76 is: 7,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.40 : 13,255.36 = 5,413.76 : x
  2. Step 2: Convert to fraction form
    9,606.40/13,255.36 = 5,413.76/x
  3. Step 3: Cross multiply
    9,606.40x = 13,255.36 × 5,413.76
  4. Step 4: Simplify right side
    9,606.40x = 71,761,337.75
  5. Step 5: Solve for x
    x = 71,761,337.75/9,606.40
  6. Step 6: Final answer
    x = 7,470.16

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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.