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Finding the Fourth Proportional to 9,548.42, 13,176.78 and 5,356.67

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Solution

The fourth proportional to 9,548.42, 13,176.78 and 5,356.67 is: 7,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.42 : 13,176.78 = 5,356.67 : x
  2. Step 2: Convert to fraction form
    9,548.42/13,176.78 = 5,356.67/x
  3. Step 3: Cross multiply
    9,548.42x = 13,176.78 × 5,356.67
  4. Step 4: Simplify right side
    9,548.42x = 70,583,662.12
  5. Step 5: Solve for x
    x = 70,583,662.12/9,548.42
  6. Step 6: Final answer
    x = 7,392.18

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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.