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Finding the Fourth Proportional to 9,648.96, 14,477.96 and 3,413.68

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Solution

The fourth proportional to 9,648.96, 14,477.96 and 3,413.68 is: 5,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.96 : 14,477.96 = 3,413.68 : x
  2. Step 2: Convert to fraction form
    9,648.96/14,477.96 = 3,413.68/x
  3. Step 3: Cross multiply
    9,648.96x = 14,477.96 × 3,413.68
  4. Step 4: Simplify right side
    9,648.96x = 49,423,122.49
  5. Step 5: Solve for x
    x = 49,423,122.49/9,648.96
  6. Step 6: Final answer
    x = 5,122.12

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Why These Related Problems?

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