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Finding the Fourth Proportional to 9,986.40, 14,979.60 and 9,500.40

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Solution

The fourth proportional to 9,986.40, 14,979.60 and 9,500.40 is: 14,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.40 : 14,979.60 = 9,500.40 : x
  2. Step 2: Convert to fraction form
    9,986.40/14,979.60 = 9,500.40/x
  3. Step 3: Cross multiply
    9,986.40x = 14,979.60 × 9,500.40
  4. Step 4: Simplify right side
    9,986.40x = 142,312,191.84
  5. Step 5: Solve for x
    x = 142,312,191.84/9,986.40
  6. Step 6: Final answer
    x = 14,250.60

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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.