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Finding the Fourth Proportional to 10,404.44, 14,358.12 and 6,684.92

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Solution

The fourth proportional to 10,404.44, 14,358.12 and 6,684.92 is: 9,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.44 : 14,358.12 = 6,684.92 : x
  2. Step 2: Convert to fraction form
    10,404.44/14,358.12 = 6,684.92/x
  3. Step 3: Cross multiply
    10,404.44x = 14,358.12 × 6,684.92
  4. Step 4: Simplify right side
    10,404.44x = 95,982,883.55
  5. Step 5: Solve for x
    x = 95,982,883.55/10,404.44
  6. Step 6: Final answer
    x = 9,225.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.