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Finding the Fourth Proportional to 9,323.30, 12,860.29 and 6,136.76

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Solution

The fourth proportional to 9,323.30, 12,860.29 and 6,136.76 is: 8,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.30 : 12,860.29 = 6,136.76 : x
  2. Step 2: Convert to fraction form
    9,323.30/12,860.29 = 6,136.76/x
  3. Step 3: Cross multiply
    9,323.30x = 12,860.29 × 6,136.76
  4. Step 4: Simplify right side
    9,323.30x = 78,920,513.26
  5. Step 5: Solve for x
    x = 78,920,513.26/9,323.30
  6. Step 6: Final answer
    x = 8,464.87

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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.