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Finding the Fourth Proportional to 10,338.58, 14,254.06 and 6,698.20

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Solution

The fourth proportional to 10,338.58, 14,254.06 and 6,698.20 is: 9,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.58 : 14,254.06 = 6,698.20 : x
  2. Step 2: Convert to fraction form
    10,338.58/14,254.06 = 6,698.20/x
  3. Step 3: Cross multiply
    10,338.58x = 14,254.06 × 6,698.20
  4. Step 4: Simplify right side
    10,338.58x = 95,476,544.69
  5. Step 5: Solve for x
    x = 95,476,544.69/10,338.58
  6. Step 6: Final answer
    x = 9,234.98

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