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Finding the Fourth Proportional to 9,409.29, 12,983.55 and 5,631.60

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Solution

The fourth proportional to 9,409.29, 12,983.55 and 5,631.60 is: 7,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.29 : 12,983.55 = 5,631.60 : x
  2. Step 2: Convert to fraction form
    9,409.29/12,983.55 = 5,631.60/x
  3. Step 3: Cross multiply
    9,409.29x = 12,983.55 × 5,631.60
  4. Step 4: Simplify right side
    9,409.29x = 73,118,160.18
  5. Step 5: Solve for x
    x = 73,118,160.18/9,409.29
  6. Step 6: Final answer
    x = 7,770.85

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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.