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Finding the Fourth Proportional to 9,800.92, 14,701.65 and 2,405.35

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Solution

The fourth proportional to 9,800.92, 14,701.65 and 2,405.35 is: 3,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.92 : 14,701.65 = 2,405.35 : x
  2. Step 2: Convert to fraction form
    9,800.92/14,701.65 = 2,405.35/x
  3. Step 3: Cross multiply
    9,800.92x = 14,701.65 × 2,405.35
  4. Step 4: Simplify right side
    9,800.92x = 35,362,613.83
  5. Step 5: Solve for x
    x = 35,362,613.83/9,800.92
  6. Step 6: Final answer
    x = 3,608.09

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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.