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Finding the Fourth Proportional to 9,780.14, 14,662.92 and 5,883.64

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Solution

The fourth proportional to 9,780.14, 14,662.92 and 5,883.64 is: 8,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.14 : 14,662.92 = 5,883.64 : x
  2. Step 2: Convert to fraction form
    9,780.14/14,662.92 = 5,883.64/x
  3. Step 3: Cross multiply
    9,780.14x = 14,662.92 × 5,883.64
  4. Step 4: Simplify right side
    9,780.14x = 86,271,269.31
  5. Step 5: Solve for x
    x = 86,271,269.31/9,780.14
  6. Step 6: Final answer
    x = 8,821.07

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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.