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Finding the Fourth Proportional to 9,502.71, 14,256.17 and 3,262.58

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Solution

The fourth proportional to 9,502.71, 14,256.17 and 3,262.58 is: 4,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.71 : 14,256.17 = 3,262.58 : x
  2. Step 2: Convert to fraction form
    9,502.71/14,256.17 = 3,262.58/x
  3. Step 3: Cross multiply
    9,502.71x = 14,256.17 × 3,262.58
  4. Step 4: Simplify right side
    9,502.71x = 46,511,878.81
  5. Step 5: Solve for x
    x = 46,511,878.81/9,502.71
  6. Step 6: Final answer
    x = 4,894.59

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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.