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Finding the Fourth Proportional to 9,548.82, 14,323.32 and 2,974.50

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Solution

The fourth proportional to 9,548.82, 14,323.32 and 2,974.50 is: 4,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.82 : 14,323.32 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    9,548.82/14,323.32 = 2,974.50/x
  3. Step 3: Cross multiply
    9,548.82x = 14,323.32 × 2,974.50
  4. Step 4: Simplify right side
    9,548.82x = 42,604,715.34
  5. Step 5: Solve for x
    x = 42,604,715.34/9,548.82
  6. Step 6: Final answer
    x = 4,461.78

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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.