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Finding the Fourth Proportional to 9,780.63, 14,670.16 and 2,760.36

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Solution

The fourth proportional to 9,780.63, 14,670.16 and 2,760.36 is: 4,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.63 : 14,670.16 = 2,760.36 : x
  2. Step 2: Convert to fraction form
    9,780.63/14,670.16 = 2,760.36/x
  3. Step 3: Cross multiply
    9,780.63x = 14,670.16 × 2,760.36
  4. Step 4: Simplify right side
    9,780.63x = 40,494,922.86
  5. Step 5: Solve for x
    x = 40,494,922.86/9,780.63
  6. Step 6: Final answer
    x = 4,140.32

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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.