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Finding the Fourth Proportional to 9,620.34, 14,397.93 and 5,924.94

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Solution

The fourth proportional to 9,620.34, 14,397.93 and 5,924.94 is: 8,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.34 : 14,397.93 = 5,924.94 : x
  2. Step 2: Convert to fraction form
    9,620.34/14,397.93 = 5,924.94/x
  3. Step 3: Cross multiply
    9,620.34x = 14,397.93 × 5,924.94
  4. Step 4: Simplify right side
    9,620.34x = 85,306,871.37
  5. Step 5: Solve for x
    x = 85,306,871.37/9,620.34
  6. Step 6: Final answer
    x = 8,867.34

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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.