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Finding the Fourth Proportional to 9,464.61, 14,199.87 and 3,920.57

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Solution

The fourth proportional to 9,464.61, 14,199.87 and 3,920.57 is: 5,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.61 : 14,199.87 = 3,920.57 : x
  2. Step 2: Convert to fraction form
    9,464.61/14,199.87 = 3,920.57/x
  3. Step 3: Cross multiply
    9,464.61x = 14,199.87 × 3,920.57
  4. Step 4: Simplify right side
    9,464.61x = 55,671,581.28
  5. Step 5: Solve for x
    x = 55,671,581.28/9,464.61
  6. Step 6: Final answer
    x = 5,882.08

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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.