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Finding the Fourth Proportional to 9,905.02, 14,841.88 and 3,656.43

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Solution

The fourth proportional to 9,905.02, 14,841.88 and 3,656.43 is: 5,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.02 : 14,841.88 = 3,656.43 : x
  2. Step 2: Convert to fraction form
    9,905.02/14,841.88 = 3,656.43/x
  3. Step 3: Cross multiply
    9,905.02x = 14,841.88 × 3,656.43
  4. Step 4: Simplify right side
    9,905.02x = 54,268,295.29
  5. Step 5: Solve for x
    x = 54,268,295.29/9,905.02
  6. Step 6: Final answer
    x = 5,478.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.