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Finding the Fourth Proportional to 34,410.69, 51,606.68 and 9,444.83

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Solution

The fourth proportional to 34,410.69, 51,606.68 and 9,444.83 is: 14,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410.69 : 51,606.68 = 9,444.83 : x
  2. Step 2: Convert to fraction form
    34,410.69/51,606.68 = 9,444.83/x
  3. Step 3: Cross multiply
    34,410.69x = 51,606.68 × 9,444.83
  4. Step 4: Simplify right side
    34,410.69x = 487,416,014.21
  5. Step 5: Solve for x
    x = 487,416,014.21/34,410.69
  6. Step 6: Final answer
    x = 14,164.67

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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.