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Finding the Fourth Proportional to 9,656.40, 14,470.20 and 8,187.60

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Solution

The fourth proportional to 9,656.40, 14,470.20 and 8,187.60 is: 12,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.40 : 14,470.20 = 8,187.60 : x
  2. Step 2: Convert to fraction form
    9,656.40/14,470.20 = 8,187.60/x
  3. Step 3: Cross multiply
    9,656.40x = 14,470.20 × 8,187.60
  4. Step 4: Simplify right side
    9,656.40x = 118,476,209.52
  5. Step 5: Solve for x
    x = 118,476,209.52/9,656.40
  6. Step 6: Final answer
    x = 12,269.19

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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.