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Finding the Fourth Proportional to 9,714.52, 14,576.64 and 3,875.23

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Solution

The fourth proportional to 9,714.52, 14,576.64 and 3,875.23 is: 5,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 14,576.64 = 3,875.23 : x
  2. Step 2: Convert to fraction form
    9,714.52/14,576.64 = 3,875.23/x
  3. Step 3: Cross multiply
    9,714.52x = 14,576.64 × 3,875.23
  4. Step 4: Simplify right side
    9,714.52x = 56,487,832.63
  5. Step 5: Solve for x
    x = 56,487,832.63/9,714.52
  6. Step 6: Final answer
    x = 5,814.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.