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Finding the Fourth Proportional to 9,752.93, 14,629.43 and 2,357.39

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Solution

The fourth proportional to 9,752.93, 14,629.43 and 2,357.39 is: 3,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.93 : 14,629.43 = 2,357.39 : x
  2. Step 2: Convert to fraction form
    9,752.93/14,629.43 = 2,357.39/x
  3. Step 3: Cross multiply
    9,752.93x = 14,629.43 × 2,357.39
  4. Step 4: Simplify right side
    9,752.93x = 34,487,187.05
  5. Step 5: Solve for x
    x = 34,487,187.05/9,752.93
  6. Step 6: Final answer
    x = 3,536.09

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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.