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Finding the Fourth Proportional to 9,833.34, 14,674.42 and 9,777.18

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Solution

The fourth proportional to 9,833.34, 14,674.42 and 9,777.18 is: 14,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.34 : 14,674.42 = 9,777.18 : x
  2. Step 2: Convert to fraction form
    9,833.34/14,674.42 = 9,777.18/x
  3. Step 3: Cross multiply
    9,833.34x = 14,674.42 × 9,777.18
  4. Step 4: Simplify right side
    9,833.34x = 143,474,396.85
  5. Step 5: Solve for x
    x = 143,474,396.85/9,833.34
  6. Step 6: Final answer
    x = 14,590.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.