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Finding the Fourth Proportional to 9,287.42, 12,814.74 and 5,309.87

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Solution

The fourth proportional to 9,287.42, 12,814.74 and 5,309.87 is: 7,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.42 : 12,814.74 = 5,309.87 : x
  2. Step 2: Convert to fraction form
    9,287.42/12,814.74 = 5,309.87/x
  3. Step 3: Cross multiply
    9,287.42x = 12,814.74 × 5,309.87
  4. Step 4: Simplify right side
    9,287.42x = 68,044,539.41
  5. Step 5: Solve for x
    x = 68,044,539.41/9,287.42
  6. Step 6: Final answer
    x = 7,326.53

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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.