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Finding the Fourth Proportional to 9,646.34, 14,471.70 and 3,072.92

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Solution

The fourth proportional to 9,646.34, 14,471.70 and 3,072.92 is: 4,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.34 : 14,471.70 = 3,072.92 : x
  2. Step 2: Convert to fraction form
    9,646.34/14,471.70 = 3,072.92/x
  3. Step 3: Cross multiply
    9,646.34x = 14,471.70 × 3,072.92
  4. Step 4: Simplify right side
    9,646.34x = 44,470,376.36
  5. Step 5: Solve for x
    x = 44,470,376.36/9,646.34
  6. Step 6: Final answer
    x = 4,610.08

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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.