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Finding the Fourth Proportional to 9,661.40, 14,513.70 and 9,267.80

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Solution

The fourth proportional to 9,661.40, 14,513.70 and 9,267.80 is: 13,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.40 : 14,513.70 = 9,267.80 : x
  2. Step 2: Convert to fraction form
    9,661.40/14,513.70 = 9,267.80/x
  3. Step 3: Cross multiply
    9,661.40x = 14,513.70 × 9,267.80
  4. Step 4: Simplify right side
    9,661.40x = 134,510,068.86
  5. Step 5: Solve for x
    x = 134,510,068.86/9,661.40
  6. Step 6: Final answer
    x = 13,922.42

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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.