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Finding the Fourth Proportional to 9,670.78, 14,487.18 and 5,498.29

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Solution

The fourth proportional to 9,670.78, 14,487.18 and 5,498.29 is: 8,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.78 : 14,487.18 = 5,498.29 : x
  2. Step 2: Convert to fraction form
    9,670.78/14,487.18 = 5,498.29/x
  3. Step 3: Cross multiply
    9,670.78x = 14,487.18 × 5,498.29
  4. Step 4: Simplify right side
    9,670.78x = 79,654,716.92
  5. Step 5: Solve for x
    x = 79,654,716.92/9,670.78
  6. Step 6: Final answer
    x = 8,236.64

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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.