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Finding the Fourth Proportional to 9,735.20, 14,602.88 and 2,809.92

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Solution

The fourth proportional to 9,735.20, 14,602.88 and 2,809.92 is: 4,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.20 : 14,602.88 = 2,809.92 : x
  2. Step 2: Convert to fraction form
    9,735.20/14,602.88 = 2,809.92/x
  3. Step 3: Cross multiply
    9,735.20x = 14,602.88 × 2,809.92
  4. Step 4: Simplify right side
    9,735.20x = 41,032,924.57
  5. Step 5: Solve for x
    x = 41,032,924.57/9,735.20
  6. Step 6: Final answer
    x = 4,214.90

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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.