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Finding the Fourth Proportional to 9,554.46, 14,328.92 and 3,314.22

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Solution

The fourth proportional to 9,554.46, 14,328.92 and 3,314.22 is: 4,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.46 : 14,328.92 = 3,314.22 : x
  2. Step 2: Convert to fraction form
    9,554.46/14,328.92 = 3,314.22/x
  3. Step 3: Cross multiply
    9,554.46x = 14,328.92 × 3,314.22
  4. Step 4: Simplify right side
    9,554.46x = 47,489,193.24
  5. Step 5: Solve for x
    x = 47,489,193.24/9,554.46
  6. Step 6: Final answer
    x = 4,970.37

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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.