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Finding the Fourth Proportional to 6,539.00, 9,014.29 and 4,964.36

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Solution

The fourth proportional to 6,539.00, 9,014.29 and 4,964.36 is: 6,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.00 : 9,014.29 = 4,964.36 : x
  2. Step 2: Convert to fraction form
    6,539.00/9,014.29 = 4,964.36/x
  3. Step 3: Cross multiply
    6,539.00x = 9,014.29 × 4,964.36
  4. Step 4: Simplify right side
    6,539.00x = 44,750,123.22
  5. Step 5: Solve for x
    x = 44,750,123.22/6,539.00
  6. Step 6: Final answer
    x = 6,843.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.