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Finding the Fourth Proportional to 9,511.99, 14,272.00 and 5,124.29

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Solution

The fourth proportional to 9,511.99, 14,272.00 and 5,124.29 is: 7,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.99 : 14,272.00 = 5,124.29 : x
  2. Step 2: Convert to fraction form
    9,511.99/14,272.00 = 5,124.29/x
  3. Step 3: Cross multiply
    9,511.99x = 14,272.00 × 5,124.29
  4. Step 4: Simplify right side
    9,511.99x = 73,133,782.71
  5. Step 5: Solve for x
    x = 73,133,782.71/9,511.99
  6. Step 6: Final answer
    x = 7,688.59

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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.