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Finding the Fourth Proportional to 9,674.66, 13,343.50 and 6,486.90

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Solution

The fourth proportional to 9,674.66, 13,343.50 and 6,486.90 is: 8,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.66 : 13,343.50 = 6,486.90 : x
  2. Step 2: Convert to fraction form
    9,674.66/13,343.50 = 6,486.90/x
  3. Step 3: Cross multiply
    9,674.66x = 13,343.50 × 6,486.90
  4. Step 4: Simplify right side
    9,674.66x = 86,557,950.15
  5. Step 5: Solve for x
    x = 86,557,950.15/9,674.66
  6. Step 6: Final answer
    x = 8,946.87

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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.