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Finding the Fourth Proportional to 9,514.73, 14,262.68 and 4,508.31

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Solution

The fourth proportional to 9,514.73, 14,262.68 and 4,508.31 is: 6,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.73 : 14,262.68 = 4,508.31 : x
  2. Step 2: Convert to fraction form
    9,514.73/14,262.68 = 4,508.31/x
  3. Step 3: Cross multiply
    9,514.73x = 14,262.68 × 4,508.31
  4. Step 4: Simplify right side
    9,514.73x = 64,300,534.66
  5. Step 5: Solve for x
    x = 64,300,534.66/9,514.73
  6. Step 6: Final answer
    x = 6,758.00

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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.