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Finding the Fourth Proportional to 9,653.51, 14,481.64 and 4,723.43

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Solution

The fourth proportional to 9,653.51, 14,481.64 and 4,723.43 is: 7,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.51 : 14,481.64 = 4,723.43 : x
  2. Step 2: Convert to fraction form
    9,653.51/14,481.64 = 4,723.43/x
  3. Step 3: Cross multiply
    9,653.51x = 14,481.64 × 4,723.43
  4. Step 4: Simplify right side
    9,653.51x = 68,403,001.21
  5. Step 5: Solve for x
    x = 68,403,001.21/9,653.51
  6. Step 6: Final answer
    x = 7,085.81

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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.