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Finding the Fourth Proportional to 9,830.04, 14,739.30 and 6,748.44

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Solution

The fourth proportional to 9,830.04, 14,739.30 and 6,748.44 is: 10,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.04 : 14,739.30 = 6,748.44 : x
  2. Step 2: Convert to fraction form
    9,830.04/14,739.30 = 6,748.44/x
  3. Step 3: Cross multiply
    9,830.04x = 14,739.30 × 6,748.44
  4. Step 4: Simplify right side
    9,830.04x = 99,467,281.69
  5. Step 5: Solve for x
    x = 99,467,281.69/9,830.04
  6. Step 6: Final answer
    x = 10,118.71

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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.