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Finding the Fourth Proportional to 9,718.99, 14,576.92 and 3,477.94

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Solution

The fourth proportional to 9,718.99, 14,576.92 and 3,477.94 is: 5,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.99 : 14,576.92 = 3,477.94 : x
  2. Step 2: Convert to fraction form
    9,718.99/14,576.92 = 3,477.94/x
  3. Step 3: Cross multiply
    9,718.99x = 14,576.92 × 3,477.94
  4. Step 4: Simplify right side
    9,718.99x = 50,697,653.14
  5. Step 5: Solve for x
    x = 50,697,653.14/9,718.99
  6. Step 6: Final answer
    x = 5,216.35

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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.