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Finding the Fourth Proportional to 6,529, 9,011.58 and 3,841.42

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Solution

The fourth proportional to 6,529, 9,011.58 and 3,841.42 is: 5,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529 : 9,011.58 = 3,841.42 : x
  2. Step 2: Convert to fraction form
    6,529/9,011.58 = 3,841.42/x
  3. Step 3: Cross multiply
    6,529x = 9,011.58 × 3,841.42
  4. Step 4: Simplify right side
    6,529x = 34,617,263.64
  5. Step 5: Solve for x
    x = 34,617,263.64/6,529
  6. Step 6: Final answer
    x = 5,302.08

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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.