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Finding the Fourth Proportional to 9,199.59, 13,861.37 and 7,592.14

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Solution

The fourth proportional to 9,199.59, 13,861.37 and 7,592.14 is: 11,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.59 : 13,861.37 = 7,592.14 : x
  2. Step 2: Convert to fraction form
    9,199.59/13,861.37 = 7,592.14/x
  3. Step 3: Cross multiply
    9,199.59x = 13,861.37 × 7,592.14
  4. Step 4: Simplify right side
    9,199.59x = 105,237,461.63
  5. Step 5: Solve for x
    x = 105,237,461.63/9,199.59
  6. Step 6: Final answer
    x = 11,439.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.