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Finding the Fourth Proportional to 9,780.80, 13,494.90 and 5,798.60

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Solution

The fourth proportional to 9,780.80, 13,494.90 and 5,798.60 is: 8,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.80 : 13,494.90 = 5,798.60 : x
  2. Step 2: Convert to fraction form
    9,780.80/13,494.90 = 5,798.60/x
  3. Step 3: Cross multiply
    9,780.80x = 13,494.90 × 5,798.60
  4. Step 4: Simplify right side
    9,780.80x = 78,251,527.14
  5. Step 5: Solve for x
    x = 78,251,527.14/9,780.80
  6. Step 6: Final answer
    x = 8,000.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.