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Finding the Fourth Proportional to 9,613.46, 14,429.10 and 5,922.90

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Solution

The fourth proportional to 9,613.46, 14,429.10 and 5,922.90 is: 8,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.46 : 14,429.10 = 5,922.90 : x
  2. Step 2: Convert to fraction form
    9,613.46/14,429.10 = 5,922.90/x
  3. Step 3: Cross multiply
    9,613.46x = 14,429.10 × 5,922.90
  4. Step 4: Simplify right side
    9,613.46x = 85,462,116.39
  5. Step 5: Solve for x
    x = 85,462,116.39/9,613.46
  6. Step 6: Final answer
    x = 8,889.84

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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.