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Finding the Fourth Proportional to 9,721.99, 14,588.66 and 4,099.32

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Solution

The fourth proportional to 9,721.99, 14,588.66 and 4,099.32 is: 6,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.99 : 14,588.66 = 4,099.32 : x
  2. Step 2: Convert to fraction form
    9,721.99/14,588.66 = 4,099.32/x
  3. Step 3: Cross multiply
    9,721.99x = 14,588.66 × 4,099.32
  4. Step 4: Simplify right side
    9,721.99x = 59,803,531.87
  5. Step 5: Solve for x
    x = 59,803,531.87/9,721.99
  6. Step 6: Final answer
    x = 6,151.37

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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.