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Finding the Fourth Proportional to 9,306.85, 13,957.31 and 3,065.48

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Solution

The fourth proportional to 9,306.85, 13,957.31 and 3,065.48 is: 4,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.85 : 13,957.31 = 3,065.48 : x
  2. Step 2: Convert to fraction form
    9,306.85/13,957.31 = 3,065.48/x
  3. Step 3: Cross multiply
    9,306.85x = 13,957.31 × 3,065.48
  4. Step 4: Simplify right side
    9,306.85x = 42,785,784.87
  5. Step 5: Solve for x
    x = 42,785,784.87/9,306.85
  6. Step 6: Final answer
    x = 4,597.24

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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.