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Finding the Fourth Proportional to 9,292.79, 12,820.70 and 6,107.83

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Solution

The fourth proportional to 9,292.79, 12,820.70 and 6,107.83 is: 8,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.79 : 12,820.70 = 6,107.83 : x
  2. Step 2: Convert to fraction form
    9,292.79/12,820.70 = 6,107.83/x
  3. Step 3: Cross multiply
    9,292.79x = 12,820.70 × 6,107.83
  4. Step 4: Simplify right side
    9,292.79x = 78,306,639.30
  5. Step 5: Solve for x
    x = 78,306,639.30/9,292.79
  6. Step 6: Final answer
    x = 8,426.60

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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.