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Finding the Fourth Proportional to 9,514.99, 14,253.33 and 4,442

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Solution

The fourth proportional to 9,514.99, 14,253.33 and 4,442 is: 6,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.99 : 14,253.33 = 4,442 : x
  2. Step 2: Convert to fraction form
    9,514.99/14,253.33 = 4,442/x
  3. Step 3: Cross multiply
    9,514.99x = 14,253.33 × 4,442
  4. Step 4: Simplify right side
    9,514.99x = 63,313,291.86
  5. Step 5: Solve for x
    x = 63,313,291.86/9,514.99
  6. Step 6: Final answer
    x = 6,654.06

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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.