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Finding the Fourth Proportional to 9,464.34, 13,064.90 and 5,929.61

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Solution

The fourth proportional to 9,464.34, 13,064.90 and 5,929.61 is: 8,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.34 : 13,064.90 = 5,929.61 : x
  2. Step 2: Convert to fraction form
    9,464.34/13,064.90 = 5,929.61/x
  3. Step 3: Cross multiply
    9,464.34x = 13,064.90 × 5,929.61
  4. Step 4: Simplify right side
    9,464.34x = 77,469,666.72
  5. Step 5: Solve for x
    x = 77,469,666.72/9,464.34
  6. Step 6: Final answer
    x = 8,185.42

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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.