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Finding the Fourth Proportional to 9,747.20, 14,620.80 and 9,689.60

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Solution

The fourth proportional to 9,747.20, 14,620.80 and 9,689.60 is: 14,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.20 : 14,620.80 = 9,689.60 : x
  2. Step 2: Convert to fraction form
    9,747.20/14,620.80 = 9,689.60/x
  3. Step 3: Cross multiply
    9,747.20x = 14,620.80 × 9,689.60
  4. Step 4: Simplify right side
    9,747.20x = 141,669,703.68
  5. Step 5: Solve for x
    x = 141,669,703.68/9,747.20
  6. Step 6: Final answer
    x = 14,534.40

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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.