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Finding the Fourth Proportional to 9,309.60, 12,854.70 and 6,125.40

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Solution

The fourth proportional to 9,309.60, 12,854.70 and 6,125.40 is: 8,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.60 : 12,854.70 = 6,125.40 : x
  2. Step 2: Convert to fraction form
    9,309.60/12,854.70 = 6,125.40/x
  3. Step 3: Cross multiply
    9,309.60x = 12,854.70 × 6,125.40
  4. Step 4: Simplify right side
    9,309.60x = 78,740,179.38
  5. Step 5: Solve for x
    x = 78,740,179.38/9,309.60
  6. Step 6: Final answer
    x = 8,457.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.