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Finding the Fourth Proportional to 9,549.98, 13,178.12 and 5,571.44

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Solution

The fourth proportional to 9,549.98, 13,178.12 and 5,571.44 is: 7,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.98 : 13,178.12 = 5,571.44 : x
  2. Step 2: Convert to fraction form
    9,549.98/13,178.12 = 5,571.44/x
  3. Step 3: Cross multiply
    9,549.98x = 13,178.12 × 5,571.44
  4. Step 4: Simplify right side
    9,549.98x = 73,421,011.15
  5. Step 5: Solve for x
    x = 73,421,011.15/9,549.98
  6. Step 6: Final answer
    x = 7,688.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.