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Finding the Fourth Proportional to 9,306.54, 13,957.65 and 2,730.96

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Solution

The fourth proportional to 9,306.54, 13,957.65 and 2,730.96 is: 4,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.54 : 13,957.65 = 2,730.96 : x
  2. Step 2: Convert to fraction form
    9,306.54/13,957.65 = 2,730.96/x
  3. Step 3: Cross multiply
    9,306.54x = 13,957.65 × 2,730.96
  4. Step 4: Simplify right side
    9,306.54x = 38,117,783.84
  5. Step 5: Solve for x
    x = 38,117,783.84/9,306.54
  6. Step 6: Final answer
    x = 4,095.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.