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Finding the Fourth Proportional to 9,549.44, 14,307.20 and 8,148.56

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Solution

The fourth proportional to 9,549.44, 14,307.20 and 8,148.56 is: 12,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.44 : 14,307.20 = 8,148.56 : x
  2. Step 2: Convert to fraction form
    9,549.44/14,307.20 = 8,148.56/x
  3. Step 3: Cross multiply
    9,549.44x = 14,307.20 × 8,148.56
  4. Step 4: Simplify right side
    9,549.44x = 116,583,077.63
  5. Step 5: Solve for x
    x = 116,583,077.63/9,549.44
  6. Step 6: Final answer
    x = 12,208.37

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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.