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Finding the Fourth Proportional to 9,673.51, 14,514.71 and 5,732.58

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Solution

The fourth proportional to 9,673.51, 14,514.71 and 5,732.58 is: 8,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.51 : 14,514.71 = 5,732.58 : x
  2. Step 2: Convert to fraction form
    9,673.51/14,514.71 = 5,732.58/x
  3. Step 3: Cross multiply
    9,673.51x = 14,514.71 × 5,732.58
  4. Step 4: Simplify right side
    9,673.51x = 83,206,707.59
  5. Step 5: Solve for x
    x = 83,206,707.59/9,673.51
  6. Step 6: Final answer
    x = 8,601.50

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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.