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Finding the Fourth Proportional to 9,546.46, 13,174.25 and 7,152.19

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Solution

The fourth proportional to 9,546.46, 13,174.25 and 7,152.19 is: 9,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.46 : 13,174.25 = 7,152.19 : x
  2. Step 2: Convert to fraction form
    9,546.46/13,174.25 = 7,152.19/x
  3. Step 3: Cross multiply
    9,546.46x = 13,174.25 × 7,152.19
  4. Step 4: Simplify right side
    9,546.46x = 94,224,739.11
  5. Step 5: Solve for x
    x = 94,224,739.11/9,546.46
  6. Step 6: Final answer
    x = 9,870.12

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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.