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Finding the Fourth Proportional to 9,502.63, 14,254.14 and 3,262.61

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Solution

The fourth proportional to 9,502.63, 14,254.14 and 3,262.61 is: 4,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.63 : 14,254.14 = 3,262.61 : x
  2. Step 2: Convert to fraction form
    9,502.63/14,254.14 = 3,262.61/x
  3. Step 3: Cross multiply
    9,502.63x = 14,254.14 × 3,262.61
  4. Step 4: Simplify right side
    9,502.63x = 46,505,699.71
  5. Step 5: Solve for x
    x = 46,505,699.71/9,502.63
  6. Step 6: Final answer
    x = 4,893.98

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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.