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Finding the Fourth Proportional to 9,597.34, 14,383.88 and 5,143.94

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Solution

The fourth proportional to 9,597.34, 14,383.88 and 5,143.94 is: 7,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.34 : 14,383.88 = 5,143.94 : x
  2. Step 2: Convert to fraction form
    9,597.34/14,383.88 = 5,143.94/x
  3. Step 3: Cross multiply
    9,597.34x = 14,383.88 × 5,143.94
  4. Step 4: Simplify right side
    9,597.34x = 73,989,815.69
  5. Step 5: Solve for x
    x = 73,989,815.69/9,597.34
  6. Step 6: Final answer
    x = 7,709.41

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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.