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Finding the Fourth Proportional to 9,896.47, 14,845.32 and 4,352.43

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Solution

The fourth proportional to 9,896.47, 14,845.32 and 4,352.43 is: 6,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.47 : 14,845.32 = 4,352.43 : x
  2. Step 2: Convert to fraction form
    9,896.47/14,845.32 = 4,352.43/x
  3. Step 3: Cross multiply
    9,896.47x = 14,845.32 × 4,352.43
  4. Step 4: Simplify right side
    9,896.47x = 64,613,120.14
  5. Step 5: Solve for x
    x = 64,613,120.14/9,896.47
  6. Step 6: Final answer
    x = 6,528.91

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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.