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Finding the Fourth Proportional to 9,734.99, 14,602.28 and 2,714.82

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Solution

The fourth proportional to 9,734.99, 14,602.28 and 2,714.82 is: 4,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.99 : 14,602.28 = 2,714.82 : x
  2. Step 2: Convert to fraction form
    9,734.99/14,602.28 = 2,714.82/x
  3. Step 3: Cross multiply
    9,734.99x = 14,602.28 × 2,714.82
  4. Step 4: Simplify right side
    9,734.99x = 39,642,555.00
  5. Step 5: Solve for x
    x = 39,642,555.00/9,734.99
  6. Step 6: Final answer
    x = 4,072.17

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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.