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Finding the Fourth Proportional to 9,514.88, 14,266.23 and 4,574.68

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Solution

The fourth proportional to 9,514.88, 14,266.23 and 4,574.68 is: 6,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.88 : 14,266.23 = 4,574.68 : x
  2. Step 2: Convert to fraction form
    9,514.88/14,266.23 = 4,574.68/x
  3. Step 3: Cross multiply
    9,514.88x = 14,266.23 × 4,574.68
  4. Step 4: Simplify right side
    9,514.88x = 65,263,437.06
  5. Step 5: Solve for x
    x = 65,263,437.06/9,514.88
  6. Step 6: Final answer
    x = 6,859.09

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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.