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Finding the Fourth Proportional to 10,409.34, 14,360.85 and 6,631.83

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Solution

The fourth proportional to 10,409.34, 14,360.85 and 6,631.83 is: 9,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.34 : 14,360.85 = 6,631.83 : x
  2. Step 2: Convert to fraction form
    10,409.34/14,360.85 = 6,631.83/x
  3. Step 3: Cross multiply
    10,409.34x = 14,360.85 × 6,631.83
  4. Step 4: Simplify right side
    10,409.34x = 95,238,694.12
  5. Step 5: Solve for x
    x = 95,238,694.12/10,409.34
  6. Step 6: Final answer
    x = 9,149.35

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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.