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Finding the Fourth Proportional to 9,518.63, 14,277.89 and 6,349.37

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Solution

The fourth proportional to 9,518.63, 14,277.89 and 6,349.37 is: 9,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.63 : 14,277.89 = 6,349.37 : x
  2. Step 2: Convert to fraction form
    9,518.63/14,277.89 = 6,349.37/x
  3. Step 3: Cross multiply
    9,518.63x = 14,277.89 × 6,349.37
  4. Step 4: Simplify right side
    9,518.63x = 90,655,503.29
  5. Step 5: Solve for x
    x = 90,655,503.29/9,518.63
  6. Step 6: Final answer
    x = 9,524.01

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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.