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Finding the Fourth Proportional to 9,413.62, 13,004.31 and 7,522.72

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Solution

The fourth proportional to 9,413.62, 13,004.31 and 7,522.72 is: 10,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.62 : 13,004.31 = 7,522.72 : x
  2. Step 2: Convert to fraction form
    9,413.62/13,004.31 = 7,522.72/x
  3. Step 3: Cross multiply
    9,413.62x = 13,004.31 × 7,522.72
  4. Step 4: Simplify right side
    9,413.62x = 97,827,782.92
  5. Step 5: Solve for x
    x = 97,827,782.92/9,413.62
  6. Step 6: Final answer
    x = 10,392.15

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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.