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Finding the Fourth Proportional to 9,714.84, 14,576.36 and 4,789.99

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Solution

The fourth proportional to 9,714.84, 14,576.36 and 4,789.99 is: 7,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.84 : 14,576.36 = 4,789.99 : x
  2. Step 2: Convert to fraction form
    9,714.84/14,576.36 = 4,789.99/x
  3. Step 3: Cross multiply
    9,714.84x = 14,576.36 × 4,789.99
  4. Step 4: Simplify right side
    9,714.84x = 69,820,530.91
  5. Step 5: Solve for x
    x = 69,820,530.91/9,714.84
  6. Step 6: Final answer
    x = 7,187.00

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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.