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Finding the Fourth Proportional to 9,306.90, 12,830.40 and 6,322.86

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Solution

The fourth proportional to 9,306.90, 12,830.40 and 6,322.86 is: 8,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.90 : 12,830.40 = 6,322.86 : x
  2. Step 2: Convert to fraction form
    9,306.90/12,830.40 = 6,322.86/x
  3. Step 3: Cross multiply
    9,306.90x = 12,830.40 × 6,322.86
  4. Step 4: Simplify right side
    9,306.90x = 81,124,822.94
  5. Step 5: Solve for x
    x = 81,124,822.94/9,306.90
  6. Step 6: Final answer
    x = 8,716.63

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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.