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Finding the Fourth Proportional to 9,709.05, 13,396.22 and 7,051.85

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Solution

The fourth proportional to 9,709.05, 13,396.22 and 7,051.85 is: 9,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.05 : 13,396.22 = 7,051.85 : x
  2. Step 2: Convert to fraction form
    9,709.05/13,396.22 = 7,051.85/x
  3. Step 3: Cross multiply
    9,709.05x = 13,396.22 × 7,051.85
  4. Step 4: Simplify right side
    9,709.05x = 94,468,031.77
  5. Step 5: Solve for x
    x = 94,468,031.77/9,709.05
  6. Step 6: Final answer
    x = 9,729.89

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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.