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Finding the Fourth Proportional to 9,205.10, 13,807.65 and 2,631.29

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Solution

The fourth proportional to 9,205.10, 13,807.65 and 2,631.29 is: 3,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 13,807.65 = 2,631.29 : x
  2. Step 2: Convert to fraction form
    9,205.10/13,807.65 = 2,631.29/x
  3. Step 3: Cross multiply
    9,205.10x = 13,807.65 × 2,631.29
  4. Step 4: Simplify right side
    9,205.10x = 36,331,931.37
  5. Step 5: Solve for x
    x = 36,331,931.37/9,205.10
  6. Step 6: Final answer
    x = 3,946.94

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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.