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Finding the Fourth Proportional to 9,152.36, 13,735.82 and 3,607.10

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Solution

The fourth proportional to 9,152.36, 13,735.82 and 3,607.10 is: 5,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.36 : 13,735.82 = 3,607.10 : x
  2. Step 2: Convert to fraction form
    9,152.36/13,735.82 = 3,607.10/x
  3. Step 3: Cross multiply
    9,152.36x = 13,735.82 × 3,607.10
  4. Step 4: Simplify right side
    9,152.36x = 49,546,389.61
  5. Step 5: Solve for x
    x = 49,546,389.61/9,152.36
  6. Step 6: Final answer
    x = 5,413.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.