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Finding the Fourth Proportional to 12,562.56, 17,314.56 and 9,413.28

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Solution

The fourth proportional to 12,562.56, 17,314.56 and 9,413.28 is: 12,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.56 : 17,314.56 = 9,413.28 : x
  2. Step 2: Convert to fraction form
    12,562.56/17,314.56 = 9,413.28/x
  3. Step 3: Cross multiply
    12,562.56x = 17,314.56 × 9,413.28
  4. Step 4: Simplify right side
    12,562.56x = 162,986,801.36
  5. Step 5: Solve for x
    x = 162,986,801.36/12,562.56
  6. Step 6: Final answer
    x = 12,974.01

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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.