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Finding the Fourth Proportional to 9,900.90, 14,846.70 and 5,742.08

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Solution

The fourth proportional to 9,900.90, 14,846.70 and 5,742.08 is: 8,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.90 : 14,846.70 = 5,742.08 : x
  2. Step 2: Convert to fraction form
    9,900.90/14,846.70 = 5,742.08/x
  3. Step 3: Cross multiply
    9,900.90x = 14,846.70 × 5,742.08
  4. Step 4: Simplify right side
    9,900.90x = 85,250,939.14
  5. Step 5: Solve for x
    x = 85,250,939.14/9,900.90
  6. Step 6: Final answer
    x = 8,610.42

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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.