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Finding the Fourth Proportional to 9,646.36, 14,471.72 and 3,072.92

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Solution

The fourth proportional to 9,646.36, 14,471.72 and 3,072.92 is: 4,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.36 : 14,471.72 = 3,072.92 : x
  2. Step 2: Convert to fraction form
    9,646.36/14,471.72 = 3,072.92/x
  3. Step 3: Cross multiply
    9,646.36x = 14,471.72 × 3,072.92
  4. Step 4: Simplify right side
    9,646.36x = 44,470,437.82
  5. Step 5: Solve for x
    x = 44,470,437.82/9,646.36
  6. Step 6: Final answer
    x = 4,610.07

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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.