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Finding the Fourth Proportional to 9,462.99, 14,196.56 and 2,889.02

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Solution

The fourth proportional to 9,462.99, 14,196.56 and 2,889.02 is: 4,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.99 : 14,196.56 = 2,889.02 : x
  2. Step 2: Convert to fraction form
    9,462.99/14,196.56 = 2,889.02/x
  3. Step 3: Cross multiply
    9,462.99x = 14,196.56 × 2,889.02
  4. Step 4: Simplify right side
    9,462.99x = 41,014,060.34
  5. Step 5: Solve for x
    x = 41,014,060.34/9,462.99
  6. Step 6: Final answer
    x = 4,334.15

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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.