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Finding the Fourth Proportional to 9,265.21, 13,894.88 and 7,784.84

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Solution

The fourth proportional to 9,265.21, 13,894.88 and 7,784.84 is: 11,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.21 : 13,894.88 = 7,784.84 : x
  2. Step 2: Convert to fraction form
    9,265.21/13,894.88 = 7,784.84/x
  3. Step 3: Cross multiply
    9,265.21x = 13,894.88 × 7,784.84
  4. Step 4: Simplify right side
    9,265.21x = 108,169,413.43
  5. Step 5: Solve for x
    x = 108,169,413.43/9,265.21
  6. Step 6: Final answer
    x = 11,674.80

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Similar ratio
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1.5x scale

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.