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Finding the Fourth Proportional to 9,784.40, 14,676.60 and 3,210.80

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Solution

The fourth proportional to 9,784.40, 14,676.60 and 3,210.80 is: 4,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.40 : 14,676.60 = 3,210.80 : x
  2. Step 2: Convert to fraction form
    9,784.40/14,676.60 = 3,210.80/x
  3. Step 3: Cross multiply
    9,784.40x = 14,676.60 × 3,210.80
  4. Step 4: Simplify right side
    9,784.40x = 47,123,627.28
  5. Step 5: Solve for x
    x = 47,123,627.28/9,784.40
  6. Step 6: Final answer
    x = 4,816.20

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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.